Answer all questions olve the following logarithmic ec 2 log10 x + log103 = log10 75
[tex]2 log_{10}x + log_{10}(3) = log_{10}(75) [/tex]






Answers

Answer 1

Step-by-step explanation:

We can rewrite the left-hand side as

[tex]2\log{x} + \log{3} = \log{3x^2}[/tex]

Here, we used the following properties of logarithms:

[tex]\log{x^a} = a\log{x}[/tex]

[tex]\log{ab} = \log{a} + \log{b}[/tex]

We can then write

[tex] \log{3x^2} = \log{75} \Rightarrow 3x^2 = 75[/tex]

or

[tex]x = 5[/tex]


Related Questions

Simplify show step by step 30 POINTS!

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

Find the sum of the even numbers from 1 to 300
a) 14,280
b) 22,650
c) 16,100
d) 15,460

Answers

Answer:

The answer is 22,650

So, option b for you

Step-by-step explanation:

To find the sum of even numbers from 2 to 300, the formula we use is,

N ( N + 1 )

Where N is given by,

N = [( first number + last number)/2] - 1

So here, N = [ (2 + 300 ) / 2 ] - 1 = 150

And hence Sum = 150 * 151 = 22650

What is the decimal equivalent for a centimeter?

Answers

the answer is 0.1 an inch is 1 so a centimeter is 0.1

Find the final amount of money in an account if $1,700 is deposited at 5.5 % interest compounded
quarterly (every 3 months) and the money is left for 8 years.
The final amount is $
Round answer to 2 decimal places

Answers

Answer:

74800 is the amount of $1700 at the rate of 5.5 for 8 yrs

brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

Is (6,0) a solution of 5x-y=9?

Answers

Answer:

No

Step-by-step explanation:

5(6)-(0)≠95(6)-(0)=30

What is the sum of two comsecutive integers

Answers

Answer:

The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.

Answers

If the integral is

[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]

substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with

[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]

which in terms of x is

[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]

Please urgent
please solve​

Answers

Answer:

1

Step-by-step explanation:

steps are in picture.Ignore hand writing

Akilometer is approximately 1094 yards . Toby runs a 6 km race. About how many yards does he run?​

Answers

The answer is 6564 yards. You had to do 1094 x 6.

Identify the segment bisector of RS.
12
S
R
M
OMS
RM
6
OS
O lines
The length of RS is O

Answers

Answer:

s

RS = 24

Step-by-step explanation:

A bisector, in mathematics, is a two-dimensional line or line segment that divides another two-dimensional shape in half. In this case, as per the given drawing line (s) divides the line (RS) in half. This is indicated by the two small red lines on either side of the line (s) on the line (RS), signifying that the two segments are congruent. Thus, proving that line (s) bisects line (RS).

The length of line (RS) is is twice the length of line (RM), thus line (RS) is (24).

If
a
=

5
x
a=−5x and
b
=

x
+
4
i
b=−x+4i, then find the value of
a
2
b
a
2
b in fully simplified f

Answers

Answer:

what to do which lesson of ath

(b) In the figure alongside, AB I BC and a - b= 10° then find the values of a and b.​

Answers

a-b=10--(1)

Same side interiors(vertical) have sum 180°

a+b=180--(2)

From both equations

2a=190a=95

And

a-b=10b=95-10b=85

This year Amanda watched 80 movies. She thought that 56 of them were very good. Of the movies she watched, what percentage did she rate as very good?

Answers

Answer: 70%

Explanation :

80x = 56
x = 56/80
x = 0.7 = 70%

If f(x) = x and g(x) = 2, what is (fºg)(x)?

Answers

Step-by-step explanation:

(fog)(x) = f[g(x)]

f(g(x))

f(x-2)

since f(x) = 1 / x

answer: 1/x-2

1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined

Find the value of x for which ABCD must be a parallelogram.

Answers

Answer:

ans is 7

Step-by-step explanation:

as we know that angle B and C are equal cause it is an alternative angle so

3x-17=25-3x

so 3x+3x=25+17

6x=42

x=7

Answer:

7

Step-by-step explanation:

The value of x only makes the figure a llgm because the question says so. It needs one more fact to be a llgm.

That said, you are 1/3 the way there. Those angles marked must be equal.

3x - 17 = 25 - 3x            Add 3x to both side

3x + 3x - 17 = 25           Combine

6x - 17 = 25                   Add 17 to both sides

6x = 25 + 17                  Combine

6x = 42                         Divide by 6

6x /6 = 42/6

x = 7

(25x3) + (10x3) is my question i dont know the answer

Answers

Answer:

75+30=105....................

What is the measurement??

Answers

Answer:

83°

.......................

Answer:

83

Step-by-step explanation:

what is 63 divided by 1000

Answers

Answer:

0.063

Step-by-step explanation:

Answer:
0.063

Hope it helps:

Find the midpoint of the segment with the given endpoints.
(-7, -9) and (-2,7)

Answers

Answer:

(-9/2,-1)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

What element in the domain has image 7 in the function f(x) = x²– 2?

a. 3 b) 9 c) -1 d) 4

Answers

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

A. 3 is the right answer.

Find the distance between the points. Give an exact answer and an approximation to three decimal places.
​(-7​,9​) and ​(-2​,4​)

Answers

Answer:

5√2 or 7.07

Step-by-step explanation:

Use the distance formula

Helppp
Find the measure of ∠3.

Answers

Answer:

90°

Step-by-step explanation:

diagonals of a kite intersect each other at 90°

:)

ANSWER :

third option 90 degrees

Step-by-step explanation:

the opossite adjasent angle is 1 that is 90 so angle 3 is opposite adjacent angle of angle 1

*The opposite adjacent angles will always be same

Write y = x + 7 in standard form using integers.

Answers

Answer:

y=x+7

y=7x+y

=7xy

Step-by-step explanation:

right answer is 7xy

Select the correct answer.
Based on these segment lengths, which group of segments cannot form a triangle?
OA 12,7,8
OB. 8, 7, 13
OC. 1,2,3
OD. 80,140, 70
Reset
Next
2021 EdimentumAll rights

Answers

Answer:

C

Step-by-step explanation:

If you add up the length of two sides, the sum must be greater than the third side of the triangle.

If you add 1 and 2, it equals 3

But that means it will be equal to the length of the third side, 3

It will be impossible to make a triangle with those lengths of sides no matter how the sides or angles are set.

It's sort of difficult to explain this without any visual

You can look up "triangle inequality" to find out more about this

22. What is the average(arithmetic mean) of all the integers
from -39 to 40, inclusive?

Answers

This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).

We have

S = 1 + 2 + 3 + … + 38 + 39 + 40

S = 40 + 39 + 38 + … + 3 + 2 + 1

==>   2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)

==>   2S = 40 × 41

==>   S = 820

and

T = 0 + 1 + 2 + … + 37 + 38 + 39

T = 39 + 38 + 37 + … + 3 + 2 + 1

==>   2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)

==>   2T = 40 × 39

==>   T = 780

The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so

average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80

average = (S - T )/80

average = (820 - 780)/80

average = 40/80 = 1/2

how to complete this question?

Answers

Answer:

f(x) = [tex]-2^{x+1}-1[/tex]

Step-by-step explanation:

I. If you see (0, -3) point on the green line

II. Perform x = 0, if y = -3 means the statement is true

    = [tex]-2^{0+1} - 1[/tex]

    = [tex]-2^{1}[/tex] - 1

    = -2 - 1

  y = -3

Got more question or somethin to discuss? Leave comment below

     

The inverse of the relation y = 9x – 4 can be obtained graphically by:

Answers

D) a reflection in the line y = x

The inverse of the function y = 9x -4 is obtained by a reflection in the line at ( y = x ). Hence Option D is correct.

What is the reflection of a line?

Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point but is on the other side of the line. This transformation is known as a reflection over the line.

The inverse relation for y= 9x -4 will be calculated by putting the value of x equal to y or replacing x by y and y by x in the equation.

Hence Option D is correct.

To know more about the reflection of line follow

https://brainly.com/question/26642069

#SPJ2

Help please! Find the area of the shape below. (Show work)

Answers

9514 1404 393

Answer:

  292 yd²

Step-by-step explanation:

We can find the area of the remaining L shape by subtracting the area of the 21×22 rectangle at lower left from the 26×29 overall rectangle.

  shape area = (26 yd)(29 yd) -(21 yd)(22 yd) = 754 yd² -462 yd²

  shape area = 292 yd²

__

Additional comment

The area of a rectangle is the product of its length and width.

There are many ways the area of this shape can be calculated. The area can be divided into two rectangles, two trapezoids, three rectangles, and other ways.

If you cut up the given shape into smaller pieces, you will generally need to know the widths of the arms of the L. One of those is shown as 7 yd. The other is 26-21 = 5 yd.

Using the method we did, we only needed the dimensions shown on the figure.

What is the value of the expression?

3 * [(2 * 6 - 5) + (8 divided by 4)] - 1

A. 9
B. 11
C. 26
D. 32
Show Work!

Answers

[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]

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