What is the answer to 256^{4x}=64^{x+3} ?

The answer to 256^{4x}=64^{x+3} is x= 9/13

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256^{4x}=64^{x+3}

25 6^{4 x} = 6 4^{x + 3}

x = \frac{9}{13}

Solution steps

25 6^{4 x} = 6 4^{x + 3}

Apply exponent rules

16 x = 3 (x + 3)

Solve

16 x = 3 (x + 3) : x = \frac{9}{13}

x = \frac{9}{13}

3^{x} = - \frac{2}{3}

4096 = (- 2)^{n}

\frac{4 ^{x - 1}}{2 ^{x + 2}} = 128

2^{x + 5} = 3

2^{x + 5} = 8

What is the answer to 256^{4x}=64^{x+3} ?
The answer to 256^{4x}=64^{x+3} is x= 9/13
Solve for x: 256^{4x}=64^{x+3}
The solution is x= 9/13