What is the answer to 256^{-5}=4^{x-4} ?

The answer to 256^{-5}=4^{x-4} is x=-16

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256^{-5}=4^{x-4}

25 6^{- 5} = 4^{x - 4}

x = - 16

Solution steps

25 6^{- 5} = 4^{x - 4}

Apply exponent rules

- 20 = x - 4

Solve

- 20 = x - 4 : x = - 16

x = - 16

40000 = 30000 \times (1 + 0.04)^{x}

1 6^{x + 1} = 6 4^{x - 2}

5 (2^{3 - x}) - 13 = 100

5^{x} - 7 \cdot 5^{x - 2} = 90

5^{2 x} = 2 5^{3 x + 2}

What is the answer to 256^{-5}=4^{x-4} ?
The answer to 256^{-5}=4^{x-4} is x=-16
Solve for x: 256^{-5}=4^{x-4}
The solution is x=-16