Precalculus Examples

$a = 16000 {(1 + \frac{4}{1})}^{1 \cdot 15}$

Step 1

Simplify.

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Step 1.1

Multiply $15$ by $1$ .

$a = 16000 {(1 + \frac{4}{1})}^{15}$

Step 1.2

Divide each term in $a = 16000 {(1 + \frac{4}{1})}^{15}$ by $16000$ .

$\frac{a}{16000} = \frac{16000 {(1 + \frac{4}{1})}^{15}}{16000}$

Step 1.3

Reduce by cancelling the common factors.

$\frac{a}{16000} = {(1 + \frac{4}{1})}^{15}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(1 + \frac{4}{1})$ of the left side $(\frac{a}{16000})$ equals the exponent $(15)$ .

$\log_{1 + \frac{4}{1}} (\frac{a}{16000}) = 15$