What is the answer to 83=11^x ?

The answer to 83=11^x is x=(ln(83))/(ln(11))

The solution is x=(ln(83))/(ln(11))

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83=11^x

83 = 1 1^{x}

x = \frac{ln ( 83 )}{ln ( 11 )}

Decimal Notation

x = 1.84279 \dots

Solution steps

83 = 1 1^{x}

Apply exponent rules

ln (83) = x ln (11)

Solve

ln (83) = x ln (11) : x = \frac{ln ( 83 )}{ln ( 11 )}

x = \frac{ln ( 83 )}{ln ( 11 )}

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