What is the answer to 91=31^x ?

The answer to 91=31^x is x=(ln(91))/(ln(31))

The solution is x=(ln(91))/(ln(31))

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91=31^x

91 = 3 1^{x}

x = \frac{ln ( 91 )}{ln ( 31 )}

Decimal Notation

x = 1.31359 \dots

Solution steps

91 = 3 1^{x}

Apply exponent rules

ln (91) = x ln (31)

Solve

ln (91) = x ln (31) : x = \frac{ln ( 91 )}{ln ( 31 )}

x = \frac{ln ( 91 )}{ln ( 31 )}

8 = e^{x}

8 1^{(x + 1)} = 9^{(3 x - 4)}

2^{2 x} + 3 (2^{x}) - 4 = 0

6^{1 - x} = 9