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Serjik [45]
3 years ago
10

What is the solution of log2 (3x-7) =3

Mathematics
2 answers:
Valentin [98]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

because the log is base 2 you can remove the log by raing 2 to the power of each side:

2^{log2 (3x-7)} = 2^{3}

the 2 and log2 cancel leaving:

3x-7 = 2^{3}

this means we can now solve through simple algebra:

3x-7 = 8\\3x = 8 + 7\\3x = 15\\3x/3 =15/3\\x = 5

hammer [34]3 years ago
5 0
The Solution X = 5.
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-3(x-4)=2x+4-x
Rudik [331]

Answer:

C. x=2

Step-by-step explanation:

-3(x-4)=2x+4-x

-3x+12=x+4

+3x     +3x

-----------------------

12=4x+4

-4       -4

-----------------------

8=4x

--  ---

4   4

-----------------------

x=2

5 0
3 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
Ksju [112]

Answer:converge at I=\frac{1}{3}

Step-by-step explanation:

Given

Improper Integral I is given as

I=\int^{\infty}_{3}\frac{1}{x^2}dx

integration of \frac{1}{x^2}  is  -\frac{1}{x}

I=\left [ -\frac{1}{x}\right ]^{\infty}_3

substituting value

I=-\left [ \frac{1}{\infty }-\frac{1}{3}\right ]

I=-\left [ 0-\frac{1}{3}\right ]

I=\frac{1}{3}

so the value of integral converges at \frac{1}{3}

8 0
4 years ago
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan
Leviafan [203]

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Answer:

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Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

  A (0, 1) has a scale factor of 1/3

  B (0, 4) has a scale factor greater than 1

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  D (0, 2) has a scale factor of 2/3

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Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

6 0
3 years ago
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Answer:

1/2

Step-by-step explanation:

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7 0
3 years ago
while visiting your cousin, who lives in another state, you buy a souvenir for $12.00. upon entering the purchase price into the
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