What is the answer to (625/256)^{5x-4}=1 ?

The answer to (625/256)^{5x-4}=1 is x= 4/5

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(625/256)^{5x-4}=1

(\frac{625}{256})^{5 x - 4} = 1

x = \frac{4}{5}

Decimal Notation

x = 0.8

Solution steps

(\frac{625}{256})^{5 x - 4} = 1

Apply exponent rules

(5 x - 4) ln (\frac{625}{256}) = ln (1)

Solve

(5 x - 4) ln (\frac{625}{256}) = ln (1) : x = \frac{4}{5}

x = \frac{4}{5}

16 = 4^{x}

3 e^{2 x} = 9

5^{3 x - 1} = 49

1 0^{\frac{4}{x}} = 6

5^{x^{2} + 8} = 12 5^{2 x}

What is the answer to (625/256)^{5x-4}=1 ?
The answer to (625/256)^{5x-4}=1 is x= 4/5
Solve for x: (625/256)^{5x-4}=1
The solution is x= 4/5