Basic Math Examples

$95^{n} = 1$

Step 1

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

$\ln (95^{n}) = \ln (1)$

Step 2

Expand $\ln (95^{n})$ by moving $n$ outside the logarithm.

$n \ln (95) = \ln (1)$

Step 3

Simplify the right side.

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Step 3.1

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

$n \ln (95) = 0$

Step 4

Divide each term in $n \ln (95) = 0$ by $\ln (95)$ and simplify.

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Step 4.1

Divide each term in $n \ln (95) = 0$ by $\ln (95)$ .

$\frac{n \ln (95)}{\ln (95)} = \frac{0}{\ln (95)}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $\ln (95)$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{n \ln (95)}{\ln (95)} = \frac{0}{\ln (95)}$

Step 4.2.1.2

Divide $n$ by $1$ .

$n = \frac{0}{\ln (95)}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $\ln (95)$ .

$n = 0$