Use a calculator to find an approximate solution to the equation.
-$150 ( 1.52 ) ^ { x / 2 } = 300$
A) $5.261$
B) $1.208$
C) $3.311$
D) $1.361$

Question

Quizplus · Accepted Answer

To solve the equation $150 ( 1.52 ) ^ { x / 2 } = 300$, divide both sides by 150 to get $(1.52)^{x/2} = 2$. Taking the logarithm of both sides, we have $\frac{x}{2} \log(1.52) = \log(2)$. Solving for $x$, we get $x = \frac{2 \log(2)}{\log(1.52)}$. Using a calculator, this evaluates to approximately $3.311$.

Use a Calculator to Find an Approximate Solution to the Equation