What is the answer to 5^{x-1}=25*sqrt(5) ?

The answer to 5^{x-1}=25*sqrt(5) is x= 7/2

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5^{x-1}=25*sqrt(5)

5^{x - 1} = 25 \cdot 5

x = \frac{7}{2}

Solution steps

5^{x - 1} = 255

Apply exponent rules

x - 1 = \frac{5}{2}

Solve

x - 1 = \frac{5}{2} : x = \frac{7}{2}

x = \frac{7}{2}

16 (e^{- x} - e^{- x} x) = 0

3^{2 x + 1} = 5^{3 x - 2}

a, (x^{a})^{b} = x^{ab}

1 6^{x} - 12 \cdot 4^{x} + 32 = 0

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

What is the answer to 5^{x-1}=25*sqrt(5) ?
The answer to 5^{x-1}=25*sqrt(5) is x= 7/2
Solve for x: 5^{x-1}=25*sqrt(5)
The solution is x= 7/2