Precalculus Examples

$12 = 5 {(- 2)}^{12 - 1}$

Step 1

Simplify.

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Step 1.1

Divide each term in $12 = 5 {(- 2)}^{12 - 1}$ by $5$ .

$\frac{12}{5} = \frac{5 {(- 2)}^{12 - 1}}{5}$

Step 1.2

Reduce by cancelling the common factors.

$\frac{12}{5} = {(- 2)}^{12 - 1}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(- 2)$ of the left side $(\frac{12}{5})$ equals the exponent $(12 - 1)$ .

$\log_{- 2} (\frac{12}{5}) = 12 - 1$