What is the answer to 25^{x-3}=5sqrt(125) ?

The answer to 25^{x-3}=5sqrt(125) is x= 17/4

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25^{x-3}=5sqrt(125)

2 5^{x - 3} = 5125

x = \frac{17}{4}

Decimal

x = 4.25

Solution steps

2 5^{x - 3} = 5125

Apply exponent rules

2 (x - 3) = \frac{5}{2}

Solve

2 (x - 3) = \frac{5}{2} : x = \frac{17}{4}

x = \frac{17}{4}

x e^{x} + 1 = 0

4^{- x + 15} = 8^{x}

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

3 e^{3 x} = 0

3 2^{x - 5} = 8^{2 x + 3}

What is the answer to 25^{x-3}=5sqrt(125) ?
The answer to 25^{x-3}=5sqrt(125) is x= 17/4
Solve for x: 25^{x-3}=5sqrt(125)
The solution is x= 17/4