What is the answer to 9^x=6 ?

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

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

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9^x=6

9^{x} = 6

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

Decimal Notation

x = 0.81546 \dots

Solution steps

9^{x} = 6

Apply exponent rules

x ln (9) = ln (6)

Solve

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

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

9^{x} = 8

1 0^{- 3 x^{2} + 3 x} = 10 0^{3 x - 63}

7^{6 x^{2} - 7} = \frac{1}{49}

7^{2 y + 1} + 7^{y} + 7^{y + 1} = 9

5^{3 x - 5} = 625