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lakkis [162]
3 years ago
14

Solve 2^16x=16^2x for x

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0
2^(16x)=16^(2x)


16=2⁴

2^(16x)=(2⁴)^(2x)
2^(16x)=2^(4*2x)
2^(16x)=2^(8x)

Therefore:
if a^n=a^m  ⇒n=m

16x=8x
16x-8x=0
8x=0
x=0/8=0

Answer: x=0
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asambeis [7]

The function h is the inverse because for every point (x, y) on the graph of f, there is a corresponding point (y, x) on the graph of h.

<h3>What is the inverse of the graph function?</h3>

Inverse functions have graphs that are reflections over the line y = x and thus have reversed ordered pairs.

The graph of a function and its inverse function are symmetric about the line y = x

On the given graph, we can see that the function h(x) is the inverse of f(x) because it is symmetric about the line y= x.

Thus we conclude that, the function h is the inverse because for every point (x, y) on the graph of f, there is a corresponding point (y, x) on the graph of h.

Read more about Graph Inverse at; brainly.com/question/4335018

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4 0
2 years ago
I really need help...Will mark brainiest
chubhunter [2.5K]

Answer:

x² + 18x +81

x² - 14x +49

4x²- 4x - 1

Step-by-step explanation:

multiply the x in the first parentheses by x and 9 in the other parentheses and

multiply the 9 in the first parentheses by x and 9 in the other parentheses and add all together

(x+9)(x+9)

x² + 9x + 9x + 81

x² + 18x +81

multiply the x in the first parentheses by x and -7 in the other parentheses and multiply the -7 in the first parentheses by x and -7 in the other parentheses and add all together

(x-7)(x-7)

x² -7x - 7x +49

x² - 14x +49

(2x-1)² is the same as (2x-1)(2x-1)

multiply the 2x in the first parentheses by 2x and -1 in the other parentheses and multiply the -1 in the first parentheses by 2x and -1 in the other parentheses and add all together

(2x-1)(2x-1)

4x²-2x-2x+1

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3 0
3 years ago
What is the final step in solving the inequality –2(5 – 4x) &lt; 6x – 4? x &lt; –3 x &gt; –3 x &lt; 3 x &gt; 3
ivolga24 [154]

Answer:

x > 3

Step-by-step explanation:

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-2(5 – 4x) < 6x – 4

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-10 + 8x < 6x - 4

Collect like terms

-10 + 4 < 6x - 8x

-6 < - 2x

Divude both sides by - 2

-6 / - 2 < - 2x / - 2

3 < x

x > 3

7 0
3 years ago
-8(-2d+2)<br> please help
Valentin [98]

Answer:

16d-16

Step-by-step explanation:

You need to distribute -8 throughout. Doing this gives you +16d-16

3 0
4 years ago
The ratio of the number of boys to the number of girls at school is 4:5. a. What fraction of the students are boys? b. If there
Sergio [31]

Answer: a. 4/9

b. 270 students

Step-by-step explanation:

4 0
3 years ago
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