Question

what is the solution to the equation below? (round your answer to two decimal places.) 6•inx=9.1

Answer 1

ANSWER

B. x = 4.56

EXPLANATION

To solve this equation, first, we have to divide both sides by 6,

$\begin{gathered} \frac{6\cdot\ln x}{6}=\frac{9.1}{6} \\ \\ \ln x=\frac{9.1}{6} \end{gathered}$

Then apply the base exponent rule of logarithms,

$a^{\log_ab}=b$

So, in this case, we have to raise e to each side of the equation,

$\begin{gathered} e^{\ln x}=e^{9.1/6} \\ \\ x\approx4.56 \end{gathered}$

Hence, the solution is x = 4.56, rounded to two decimal places.