What is the answer to 5^x=31 ?

The answer to 5^x=31 is x=(ln(31))/(ln(5))

The solution is x=(ln(31))/(ln(5))

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5^x=31

5^{x} = 31

x = \frac{ln ( 31 )}{ln ( 5 )}

Decimal

x = 2.13365 \dots

Solution steps

5^{x} = 31

Apply exponent rules

x ln (5) = ln (31)

Solve

x ln (5) = ln (31) : x = \frac{ln ( 31 )}{ln ( 5 )}

x = \frac{ln ( 31 )}{ln ( 5 )}

5^{x^{2} + 2 x} = 125

5^{x} + 5^{2 x - 2} - 2 5^{x - 1} = 5^{2 x - 3}

x, z^{2} = 3^{10} + 3^{x}

3 (1 2^{- 11 - x}) + 8 = 2501

e^{x} - e^{- x} - 6 = - 10