What is the answer to 32^x=(1/128)^{x-8} ?

The answer to 32^x=(1/128)^{x-8} is x= 14/3

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32^x=(1/128)^{x-8}

3 2^{x} = (\frac{1}{128})^{x - 8}

x = \frac{14}{3}

Decimal Notation

x = 4.66666 \dots

Solution steps

3 2^{x} = (\frac{1}{128})^{x - 8}

Apply exponent rules

5 x = - 7 (x - 8)

Solve

5 x = - 7 (x - 8) : x = \frac{14}{3}

x = \frac{14}{3}

2^{60} = 1 6^{x}

2^{x + 2} + 2^{x - 1} = 18

2 \times 9^{x} = 54

2^{4 - 2 x} = 64

y, y^{x} = x^{y}

What is the answer to 32^x=(1/128)^{x-8} ?
The answer to 32^x=(1/128)^{x-8} is x= 14/3
Solve for x: 32^x=(1/128)^{x-8}
The solution is x= 14/3