Precalculus Examples

$0.04 {(1.17)}^{x} = 4$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Remove parentheses.

$0.04 \cdot {1.17}^{x} = 4$

Step 1.2

Divide each term in $0.04 \cdot {1.17}^{x} = 4$ by $0.04$ .

$\frac{0.04 \cdot {1.17}^{x}}{0.04} = \frac{4}{0.04}$

Step 1.3

Divide $4$ by $0.04$ .

$100$

Step 1.4

Reduce by cancelling the common factors.

${1.17}^{x} = 100$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(1.17)$ of the right side $(100)$ equals the exponent $(x)$ .

$\log_{1.17} (100) = x$