What is the answer to 5^x=83 ?

The answer to 5^x=83 is x=(ln(83))/(ln(5))

The solution is x=(ln(83))/(ln(5))

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5^x=83

5^{x} = 83

x = \frac{ln ( 83 )}{ln ( 5 )}

Decimal Notation

x = 2.74558 \dots

Solution steps

5^{x} = 83

Apply exponent rules

x ln (5) = ln (83)

Solve

x ln (5) = ln (83) : x = \frac{ln ( 83 )}{ln ( 5 )}

x = \frac{ln ( 83 )}{ln ( 5 )}

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x, 121 = 2^{x}

2 e^{3 x} = 7