What is the answer to sqrt(5^{2x-3)}=125sqrt(5) ?

The answer to sqrt(5^{2x-3)}=125sqrt(5) is x=5

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sqrt(5^{2x-3)}=125sqrt(5)

5^{2 x - 3} = 1255

x = 5

Solution steps

5^{2 x - 3} = 1255

Apply exponent rules

(2 x - 3) \frac{1}{2} = \frac{7}{2}

Solve

(2 x - 3) \frac{1}{2} = \frac{7}{2} : x = 5

x = 5

e^{x^{2} - 28} \cdot e^{- 3 x} = 1

x^{x} = x^{x}

12 5^{x} + 2 (2 5^{x}) - 3 (5^{x}) = 0

6^{x} = 2

6^{x} = 0

What is the answer to sqrt(5^{2x-3)}=125sqrt(5) ?
The answer to sqrt(5^{2x-3)}=125sqrt(5) is x=5
Solve for x: sqrt(5^{2x-3)}=125sqrt(5)
The solution is x=5