What is the answer to 61=13^x ?

The answer to 61=13^x is x=(ln(61))/(ln(13))

The solution is x=(ln(61))/(ln(13))

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61=13^x

61 = 1 3^{x}

x = \frac{ln ( 61 )}{ln ( 13 )}

Decimal Notation

x = 1.60271 \dots

Solution steps

61 = 1 3^{x}

Apply exponent rules

ln (61) = x ln (13)

Solve

ln (61) = x ln (13) : x = \frac{ln ( 61 )}{ln ( 13 )}

x = \frac{ln ( 61 )}{ln ( 13 )}

3^{x + 2} = 2^{x}

9^{x + 10} + 3 = 81

2. 3^{x - 2} = 162

6 e^{x + 3} - 4 = 20

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