What is the answer to 6^x=9 ?

The answer to 6^x=9 is x=(2ln(3))/(ln(6))

The solution is x=(2ln(3))/(ln(6))

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6^x=9

6^{x} = 9

x = \frac{2 ln ( 3 )}{ln ( 6 )}

Decimal Notation

x = 1.22629 \dots

Solution steps

6^{x} = 9

Apply exponent rules

x ln (6) = ln (9)

Solve

x ln (6) = ln (9) : x = \frac{2 ln ( 3 )}{ln ( 6 )}

x = \frac{2 ln ( 3 )}{ln ( 6 )}

0.75 \cdot 1 0^{\frac{w}{3}} = 30

x^{x} = 9

\frac{17}{20} = A^{0} e^{k (600)}

x, y = e^{- x^{2}}

2^{x} + 2^{6 - x} = 16