Algebra Examples

$6^{x} = 1$ , $296$

Step 1

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

$\ln (6^{x}) = \ln (1)$

Step 2

Expand $\ln (6^{x})$ by moving $x$ outside the logarithm.

$x \ln (6) = \ln (1)$

Step 3

Simplify the right side.

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The natural logarithm of $1$ is $0$ .

$x \ln (6) = 0$

Step 4

Divide each term in $x \ln (6) = 0$ by $\ln (6)$ and simplify.

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Divide each term in $x \ln (6) = 0$ by $\ln (6)$ .

$\frac{x \ln (6)}{\ln (6)} = \frac{0}{\ln (6)}$

Simplify the left side.

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Cancel the common factor of $\ln (6)$ .

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Cancel the common factor.

$\frac{x \ln (6)}{\ln (6)} = \frac{0}{\ln (6)}$

Divide $x$ by $1$ .

$x = \frac{0}{\ln (6)}$

Simplify the right side.

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Divide $0$ by $\ln (6)$ .

$x = 0$

Step 5

Replace the variable $x$ with $0$ in the expression.

$296$