What is the answer to sqrt(5)=5^{x+4} ?

The answer to sqrt(5)=5^{x+4} is x=-7/2

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sqrt(5)=5^{x+4}

5 = 5^{x + 4}

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

5 = 5^{x + 4}

Apply exponent rules

\frac{1}{2} = x + 4

Solve

\frac{1}{2} = x + 4 : x = - \frac{7}{2}

x = - \frac{7}{2}

e^{x + 1} = 0

6^{x} + 4 (6^{- x}) = 5

(\frac{2}{3})^{x} = 1

2^{9} = 2^{3 x}

1 0^{x + 2} = 5