Precalculus Examples

$3 (2^{x}) = 42$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Multiply $3$ by $2^{x}$ .

$3 \cdot 2^{x} = 42$

Step 1.2

Divide each term in $3 \cdot 2^{x} = 42$ by $3$ .

$\frac{3 \cdot 2^{x}}{3} = \frac{42}{3}$

Step 1.3

Divide $42$ by $3$ .

$14$

Step 1.4

Reduce by cancelling the common factors.

$2^{x} = 14$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(2)$ of the right side $(14)$ equals the exponent $(x)$ .

$\log_{2} (14) = x$