What is the answer to 61=17^x ?

The answer to 61=17^x is x=(ln(61))/(ln(17))

The solution is x=(ln(61))/(ln(17))

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61=17^x

61 = 1 7^{x}

x = \frac{ln ( 61 )}{ln ( 17 )}

Decimal Notation

x = 1.45095 \dots

Solution steps

61 = 1 7^{x}

Apply exponent rules

ln (61) = x ln (17)

Solve

ln (61) = x ln (17) : x = \frac{ln ( 61 )}{ln ( 17 )}

x = \frac{ln ( 61 )}{ln ( 17 )}

e^{x} = ln (2)

6^{x} = 53

15 = 6 0^{(2 l n (\frac{2}{3}) t)}

6^{x} = 67

6^{x} = 35