What is the answer to 5^x=44 ?

The answer to 5^x=44 is x=(ln(44))/(ln(5))

The solution is x=(ln(44))/(ln(5))

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5^x=44

5^{x} = 44

x = \frac{ln ( 44 )}{ln ( 5 )}

Decimal Notation

x = 2.35124 \dots

Solution steps

5^{x} = 44

Apply exponent rules

x ln (5) = ln (44)

Solve

x ln (5) = ln (44) : x = \frac{ln ( 44 )}{ln ( 5 )}

x = \frac{ln ( 44 )}{ln ( 5 )}

3^{3 x} = 3

2^{\frac{x}{4}} = 9

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

3 \times 9^{x} \times 2 7^{x} = 1

e^{4 x} = e^{x^{2} - 12}