What is the answer to 256^{4x}=64^{x+1} ?

The answer to 256^{4x}=64^{x+1} is x= 3/13

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256^{4x}=64^{x+1}

25 6^{4 x} = 6 4^{x + 1}

x = \frac{3}{13}

Decimal Notation

x = 0.23076 \dots

Solution steps

25 6^{4 x} = 6 4^{x + 1}

Apply exponent rules

16 x = 3 (x + 1)

Solve

16 x = 3 (x + 1) : x = \frac{3}{13}

x = \frac{3}{13}

1 = e^{- t}

\frac{500}{600} = e^{- 0.00202 t}

2^{1 + 2 x} = 32

0 = 4^{x}

2^{3 + 5 x} = 4 x - 1

What is the answer to 256^{4x}=64^{x+1} ?
The answer to 256^{4x}=64^{x+1} is x= 3/13
Solve for x: 256^{4x}=64^{x+1}
The solution is x= 3/13