What is the answer to 73=13^x ?

The answer to 73=13^x is x=(ln(73))/(ln(13))

The solution is x=(ln(73))/(ln(13))

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73=13^x

73 = 1 3^{x}

x = \frac{ln ( 73 )}{ln ( 13 )}

Decimal Notation

x = 1.67272 \dots

Solution steps

73 = 1 3^{x}

Apply exponent rules

ln (73) = x ln (13)

Solve

ln (73) = x ln (13) : x = \frac{ln ( 73 )}{ln ( 13 )}

x = \frac{ln ( 73 )}{ln ( 13 )}

e^{x} = 200

4^{m} \cdot 4^{2} = 4^{12}

e^{x} - 5 x = 0

ln (3) \cdot 3^{x} = 0

2^{5 x} = 16