Solve the equation. Give an approximate solution to four decimal places.
-$7 ^ { 5 x } = 4.5$
A) $\{ 0.1546 \}$
B) $\{ 0.1335 \}$
C) $\{ 3.7219 \}$
D) $\{ 3.8647 \}$

Question

Quizplus · Accepted Answer

To solve $7^{5x} = 4.5$, take the logarithm of both sides. Using the natural logarithm, $\ln(7^{5x}) = \ln(4.5)$. Apply the logarithm power rule to get $5x \ln(7) = \ln(4.5)$. Solve for $x$ to get $x = \frac{\ln(4.5)}{5\ln(7)}$, which approximately equals $0.1546$.

Solve the Equation 75x=4.57 ^ { 5 x } = 4.575x=4.5

Solve the Equation $7 ^ { 5 x } = 4.5$