Approximate the solution to $\ln 5 x = 3.2$ . Round to 3 decimal places.
A)1.896
B)4.907
C)4.809
D)-0.446
E)316.979

Name: Approximate the solution to $\ln 5 x = 3.2$ . Round to 3 decimal places. A)1.896 B)4.907 C)4.809 D)-0.446 E)316.979
Brand: Quizplus
Rating: 4.8 (37 reviews)

Question

Quizplus · Accepted Answer

To solve for $x$, we first rewrite the equation in exponential form: $e^{3.2} = 5x$. Solving for $x$ gives $x = \frac{e^{3.2}}{5}$. Using a calculator, $e^{3.2} \approx 24.532$, so $x \approx \frac{24.532}{5} = 4.9064$, which rounds to 4.907.

Approximate the Solution To ln⁡5x=3.2\ln 5 x = 3.2ln5x=3.2 Round to 3 Decimal Places

Approximate the Solution To $\ln 5 x = 3.2$ Round to 3 Decimal Places