What is the answer to 6^x=60 ?

The answer to 6^x=60 is x=(ln(60))/(ln(6))

The solution is x=(ln(60))/(ln(6))

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6^x=60

6^{x} = 60

x = \frac{ln ( 60 )}{ln ( 6 )}

Decimal Notation

x = 2.28509 \dots

Solution steps

6^{x} = 60

Apply exponent rules

x ln (6) = ln (60)

Solve

x ln (6) = ln (60) : x = \frac{ln ( 60 )}{ln ( 6 )}

x = \frac{ln ( 60 )}{ln ( 6 )}

6^{x} = 18

3^{2 n - 2} = 9

0. 1^{11 - x} = 1 0^{2 x - 5}

e^{x^{3} - 3 x} = 0

x, t anh x = e^{- x}