Precalculus Examples

$P = 8 {(1.7)}^{t}$

Step 1

Simplify.

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Step 1.1

Remove parentheses.

$P = 8 \cdot {1.7}^{t}$

Step 1.2

Divide each term in $P = 8 \cdot {1.7}^{t}$ by $8$ .

$\frac{P}{8} = \frac{8 \cdot {1.7}^{t}}{8}$

Step 1.3

Reduce by cancelling the common factors.

$\frac{P}{8} = {1.7}^{t}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(1.7)$ of the left side $(\frac{P}{8})$ equals the exponent $(t)$ .

$\log_{1.7} (\frac{P}{8}) = t$