What is the answer to 64^{x-2}=256^{2x} ?

The answer to 64^{x-2}=256^{2x} is x=-6/5

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64^{x-2}=256^{2x}

6 4^{x - 2} = 25 6^{2 x}

x = - \frac{6}{5}

Decimal Notation

x = - 1.2

Solution steps

6 4^{x - 2} = 25 6^{2 x}

Apply exponent rules

3 (x - 2) = 8 x

Solve

3 (x - 2) = 8 x : x = - \frac{6}{5}

x = - \frac{6}{5}

5^{x} = 125

\frac{( \frac{2}{3} ) ^{x} \cdot 1}{( ( \frac{2}{3} ) ^{4} )} = 1

4^{x} = 2

x, 3^{x} + \frac{1}{3} y = \frac{10}{3}

16 = \frac{( 2 ^{3 n + 1} + 2 ^{n + 2} )}{( 2 + 4 ^{n} )}

What is the answer to 64^{x-2}=256^{2x} ?
The answer to 64^{x-2}=256^{2x} is x=-6/5
Solve for x: 64^{x-2}=256^{2x}
The solution is x=-6/5