Solve the equation. Round to the nearest thousandth.
-$$3 ^ { x } = 17$$
A) $\{ 2.579 \}$
B) $\{ 5.667 \}$
C) $\{ 1.735 \}$
D) $\{ 0.388 \}$

Question

Quizplus · Accepted Answer

To solve the equation $3^x = 17$, we use logarithms. Taking the natural logarithm (ln) of both sides gives $x \ln(3) = \ln(17)$. Solving for $x$ gives $x = \frac{\ln(17)}{\ln(3)}$, which approximately equals 2.579 when rounded to the nearest thousandth.

Solve the Equation 3x=173 ^ { x } = 173x=17 A) {2.579}\{ 2.579 \}{2.579}

Solve the Equation $3 ^ { x } = 17$ A) $\{ 2.579 \}$