Solve for x 9^x=7 - Math online

$9^{x} = 7$

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln (9^{x}) = \ln (7)$

Expand $\ln (9^{x})$ by moving $x$ outside the logarithm.

$x \ln (9) = \ln (7)$

Divide each term by $\ln (9)$ and simplify.

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Divide each term in $x \ln (9) = \ln (7)$ by $\ln (9)$ .

$\frac{x \ln (9)}{\ln (9)} = \frac{\ln (7)}{\ln (9)}$

Cancel the common factor of $\ln (9)$ .

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Cancel the common factor.

$\frac{x \ln (9)}{\ln (9)} = \frac{\ln (7)}{\ln (9)}$

Divide $x$ by $1$ .

$x = \frac{\ln (7)}{\ln (9)}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{\ln (7)}{\ln (9)}$

Decimal Form:

$x = 0.88562187 \dots$

Solve for x 9^x=7

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