What is the answer to 89=13^x ?

The answer to 89=13^x is x=(ln(89))/(ln(13))

The solution is x=(ln(89))/(ln(13))

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89=13^x

89 = 1 3^{x}

x = \frac{ln ( 89 )}{ln ( 13 )}

Decimal Notation

x = 1.74999 \dots

Solution steps

89 = 1 3^{x}

Apply exponent rules

ln (89) = x ln (13)

Solve

ln (89) = x ln (13) : x = \frac{ln ( 89 )}{ln ( 13 )}

x = \frac{ln ( 89 )}{ln ( 13 )}

4^{y - 2} = 3^{y}

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

5 = 10 e^{- 0.008 (x)}

3^{x} - 3^{x - 2} = a \cdot 3^{x}

e^{2 b} = b + 3