What is the answer to 4^{x-10}=(1/64)^{5x+2} ?

The answer to 4^{x-10}=(1/64)^{5x+2} is x= 1/4

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4^{x-10}=(1/64)^{5x+2}

4^{x - 10} = (\frac{1}{64})^{5 x + 2}

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

4^{x - 10} = (\frac{1}{64})^{5 x + 2}

Apply exponent rules

x - 10 = - 3 (5 x + 2)

Solve

x - 10 = - 3 (5 x + 2) : x = \frac{1}{4}

x = \frac{1}{4}

4096 = 4^{n - 1}

e^{- 0.3 t} = 8

2^{x} = 3 e^{4 x}

1000 = 1 0^{x}

1 6^{x} = 32

What is the answer to 4^{x-10}=(1/64)^{5x+2} ?
The answer to 4^{x-10}=(1/64)^{5x+2} is x= 1/4
Solve for x: 4^{x-10}=(1/64)^{5x+2}
The solution is x= 1/4