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3 years ago

Solve for x 4^5x=(1/32)^1-x

Mathematics

1 answer:

olasank [31]3 years ago

5 0

x = -1

Step-by-step explanation:

${4}^{5x} = {2}^{2(5x)} = {2}^{10x}$

${( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)}$

${2}^{10x} = {2}^{(5x - 5)}$

Since both sides have the same base, we can write

10x = 5x - 5

5x = -5

x = -1

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Stolb23 [73]

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4 years ago

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