Precalculus Examples

$f (x) = {(\frac{2}{3})}^{5 x}$

Step 1

Set ${(\frac{2}{3})}^{5 x}$ equal to $0$ .

${(\frac{2}{3})}^{5 x} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln ({(\frac{2}{3})}^{5 x}) = \ln (0)$

Step 2.2

The equation cannot be solved because $\ln (0)$ is undefined.

Undefined

Step 2.3

There is no solution for ${(\frac{2}{3})}^{5 x} = 0$

No solution