What is the answer to 7^x=9 ?

The answer to 7^x=9 is x=(2ln(3))/(ln(7))

The solution is x=(2ln(3))/(ln(7))

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7^x=9

7^{x} = 9

x = \frac{2 ln ( 3 )}{ln ( 7 )}

Decimal Notation

x = 1.12915 \dots

Solution steps

7^{x} = 9

Apply exponent rules

x ln (7) = ln (9)

Solve

x ln (7) = ln (9) : x = \frac{2 ln ( 3 )}{ln ( 7 )}

x = \frac{2 ln ( 3 )}{ln ( 7 )}

7^{x} = 0

\frac{9 ^{2 x - 3}}{3 ^{x - 2}} = 256

2^{4 x} = 2^{2 x - 3}

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

2^{2 - 5 x} = 4^{x}