What is the answer to 4^{5x-13}= 1/(8^x) ?

The answer to 4^{5x-13}= 1/(8^x) is x=2

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4^{5x-13}= 1/(8^x)

4^{5 x - 13} = \frac{1}{8 ^{x}}

x = 2

Solution steps

4^{5 x - 13} = \frac{1}{8 ^{x}}

Apply exponent rules

2 (5 x - 13) = - 3 x

Solve

2 (5 x - 13) = - 3 x : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

2 e^{2 x} + 9 e^{x} = 5

5^{x - 9} = 0.2

2^{x + 1} + 2^{x - 1} = \frac{5}{2}

4^{x + 1} = 256

3^{2 x} + 2 \times 3^{x + 1} = 16

What is the answer to 4^{5x-13}= 1/(8^x) ?
The answer to 4^{5x-13}= 1/(8^x) is x=2
Solve for x: 4^{5x-13}= 1/(8^x)
The solution is x=2