What is the answer to 256^{x+5}=64^{2x+4} ?

The answer to 256^{x+5}=64^{2x+4} is x=4

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256^{x+5}=64^{2x+4}

25 6^{x + 5} = 6 4^{2 x + 4}

x = 4

Solution steps

25 6^{x + 5} = 6 4^{2 x + 4}

Apply exponent rules

4 (x + 5) = 3 (2 x + 4)

Solve

4 (x + 5) = 3 (2 x + 4) : x = 4

x = 4

e^{x} (x^{2} + 4 x + 2) = 0

3^{2 x} - 12 \times 3^{x} + 27 = 0

2 (5^{3 x}) = 31250

9^{9 x + 4} = 243

4^{x + 1} + 4^{x + 2} = 320

What is the answer to 256^{x+5}=64^{2x+4} ?
The answer to 256^{x+5}=64^{2x+4} is x=4
Solve for x: 256^{x+5}=64^{2x+4}
The solution is x=4