What is the answer to (1/16)^{x-2}=64 ?

The answer to (1/16)^{x-2}=64 is x= 1/2

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(1/16)^{x-2}=64

(\frac{1}{16})^{x - 2} = 64

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

(\frac{1}{16})^{x - 2} = 64

Apply exponent rules

- 2 (x - 2) = 3

Solve

- 2 (x - 2) = 3 : x = \frac{1}{2}

x = \frac{1}{2}

10 0^{x + 3} = \frac{1}{10}

2^{x} = 4^{3}

\frac{1}{e ^{x}} = 0

4^{x} + 2^{1 + 2 x} = 40

3^{2 x} - 3^{x} - 6 = 0