What is the answer to 256^{x+4}=64^{2x-2} ?

The answer to 256^{x+4}=64^{2x-2} is x=11

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256^{x+4}=64^{2x-2}

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

x = 11

Solution steps

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

Apply exponent rules

4 (x + 4) = 3 (2 x - 2)

Solve

4 (x + 4) = 3 (2 x - 2) : x = 11

x = 11

(3 \cdot 2)^{X} = 18

2^{h} (2^{4}) - 2^{2} = 60

e^{- 2 x} = 16

e^{- 2 x} = 14

3 (5^{x}) + 2 = 25

What is the answer to 256^{x+4}=64^{2x-2} ?
The answer to 256^{x+4}=64^{2x-2} is x=11
Solve for x: 256^{x+4}=64^{2x-2}
The solution is x=11