What is the answer to 4^x=89 ?

The answer to 4^x=89 is x=(ln(89))/(2ln(2))

The solution is x=(ln(89))/(2ln(2))

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4^x=89

4^{x} = 89

x = \frac{ln ( 89 )}{2 ln ( 2 )}

Decimal Notation

x = 3.23786 \dots

Solution steps

4^{x} = 89

Apply exponent rules

x ln (4) = ln (89)

Solve

x ln (4) = ln (89) : x = \frac{ln ( 89 )}{2 ln ( 2 )}

x = \frac{ln ( 89 )}{2 ln ( 2 )}

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2^{5 x - 1} = 3^{2 x}

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