Precalculus Examples

$f (0) = 574 {(1.026)}^{0}$

Step 1

Simplify.

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Step 1.1

Remove parentheses.

$f (0) = 574 \cdot {1.026}^{0}$

Step 1.2

Divide each term in $f (0) = 574 \cdot {1.026}^{0}$ by $574$ .

$\frac{f (0)}{574} = \frac{574 \cdot {1.026}^{0}}{574}$

Step 1.3

Multiply $f$ by $0$ .

$\frac{0}{574}$

Step 1.4

Divide $0$ by $574$ .

$0$

Step 1.5

Reduce by cancelling the common factors.

$0 = {1.026}^{0}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(1.026)$ of the left side $(0)$ equals the exponent $(0)$ .

$\log_{1.026} (0) = 0$