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

The answer to (5^{x+3})/(25)=sqrt(5) is x=-1/2

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(5^{x+3})/(25)=sqrt(5)

\frac{5 ^{x + 3}}{25} = 5

x = - \frac{1}{2}

Solution steps

\frac{5 ^{x + 3}}{25} = 5

Multiply both sides by

25

\frac{5 ^{x + 3}}{25} \cdot 25 = 5 \cdot 25

Simplify

5^{x + 3} = 5 \cdot 25

Apply exponent rules

x + 3 = \frac{5}{2}

Solve

x + 3 = \frac{5}{2} : x = - \frac{1}{2}

x = - \frac{1}{2}

5^{2 x} = 4

4^{- x} - 2^{- x + 2} + 4 = 0

x^{x} = \frac{1}{2}

7 e^{2 x + 3} = 20

4^{x} - 3 \cdot 2^{x + 2} + 32 = 0

What is the answer to (5^{x+3})/(25)=sqrt(5) ?
The answer to (5^{x+3})/(25)=sqrt(5) is x=-1/2
Solve for x: (5^{x+3})/(25)=sqrt(5)
The solution is x=-1/2