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

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

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5^{x+3}=sqrt(125)

5^{x + 3} = 125

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

5^{x + 3} = 125

Apply exponent rules

x + 3 = \frac{3}{2}

Solve

x + 3 = \frac{3}{2} : x = - \frac{3}{2}

x = - \frac{3}{2}

7^{x} = 343

e^{2 x} - 2 e^{x} - 8 = 0

2^{2 x} = 2^{43}

\frac{e ^{x} + e ^{- x}}{2} = 2

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

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