Precalculus Examples

$(4) (7^{x}) = 0$

Step 1

Simplify.

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Step 1.1

Simplify both sides of the equation.

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Step 1.1.1

Multiply $4$ by $7^{x}$ .

$4 (7^{x}) = 0$

Step 1.1.2

Multiply $4$ by $7^{x}$ .

$4 \cdot 7^{x} = 0$

Step 1.2

Divide each term in $4 \cdot 7^{x} = 0$ by $4$ .

$\frac{4 \cdot 7^{x}}{4} = \frac{0}{4}$

Step 1.3

Divide $0$ by $4$ .

$0$

Step 1.4

Reduce by cancelling the common factors.

$7^{x} = 0$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(7)$ of the right side $(0)$ equals the exponent $(x)$ .

$\log_{7} (0) = x$