What is the answer to 89=15^x ?

The answer to 89=15^x is x=(ln(89))/(ln(15))

The solution is x=(ln(89))/(ln(15))

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89=15^x

89 = 1 5^{x}

x = \frac{ln ( 89 )}{ln ( 15 )}

Decimal Notation

x = 1.65751 \dots

Solution steps

89 = 1 5^{x}

Apply exponent rules

ln (89) = x ln (15)

Solve

ln (89) = x ln (15) : x = \frac{ln ( 89 )}{ln ( 15 )}

x = \frac{ln ( 89 )}{ln ( 15 )}

3^{x - 1} = 20

3^{x - 4} = 2

6 4^{x} = 256

2^{2000} = 3 2^{x}

e^{x} = 0.6