What is the answer to 5^x=94 ?

The answer to 5^x=94 is x=(ln(94))/(ln(5))

The solution is x=(ln(94))/(ln(5))

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5^x=94

5^{x} = 94

x = \frac{ln ( 94 )}{ln ( 5 )}

Decimal Notation

x = 2.82290 \dots

Solution steps

5^{x} = 94

Apply exponent rules

x ln (5) = ln (94)

Solve

x ln (5) = ln (94) : x = \frac{ln ( 94 )}{ln ( 5 )}

x = \frac{ln ( 94 )}{ln ( 5 )}

4^{x} = e^{5 x - 1}

e^{x} = - e^{- x}

22 - 100 = - 80 e^{x}

5^{2 x - 1} = 625

8 1^{2 x} = 9