Precalculus Examples

$f (- 6) = - 6^{2}$

Step 1

Simplify.

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Step 1.1

Divide each term in $f (- 6) = - 6^{2}$ by $- 1$ .

$\frac{f (- 6)}{- 1} = \frac{- 6^{2}}{- 1}$

Step 1.2

Move $- 6$ to the left of $f$ .

$\frac{- 6 f}{- 1}$

Step 1.3

Move the negative one from the denominator of $\frac{- 6 f}{- 1}$ .

$- 1 \cdot (- 6 f)$

Step 1.4

Rewrite $- 1 \cdot (- 6 f)$ as $- (- 6 f)$ .

$- (- 6 f)$

Step 1.5

Multiply $- 6$ by $- 1$ .

$6 f$

Step 1.6

Reduce by cancelling the common factors.

$6 f = 6^{2}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(6)$ of the left side $(6 f)$ equals the exponent $(2)$ .

$\log_{6} (6 f) = 2$