What is the answer to 5^x=22 ?

The answer to 5^x=22 is x=(ln(22))/(ln(5))

The solution is x=(ln(22))/(ln(5))

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5^x=22

5^{x} = 22

x = \frac{ln ( 22 )}{ln ( 5 )}

Decimal Notation

x = 1.92057 \dots

Solution steps

5^{x} = 22

Apply exponent rules

x ln (5) = ln (22)

Solve

x ln (5) = ln (22) : x = \frac{ln ( 22 )}{ln ( 5 )}

x = \frac{ln ( 22 )}{ln ( 5 )}

5^{x} = 23

5^{x} = 14

5^{x} = - 1

3^{2 x + 5} = 3^{7}

e^{2 x} + e^{x} - 2 = 0