Use logarithms to solve the equation. Round your answer to four decimal places. $6 ^ { - 2 x } = 40$
A) $x = - 0.8333$
B) $x = - 1.8493$
C) $x = 0.8333$
D) $x = 1.0294$
E) $x = - 1.0294$

Question

Use logarithms to solve the equation. Round your answer to four decimal places.  $6 ^ { - 2 x } = 40$  
A) $x = - 0.8333$
B) $x = - 1.8493$
C) $x = 0.8333$
D) $x = 1.0294$
E) $x = - 1.0294$

Quizplus · Accepted Answer

Taking the logarithm of both sides, we get $-2x \log(6) = \log(40)$. Solving for $x$, we find $x = -\frac{\log(40)}{2\log(6)} \approx -1.0294$.

Use Logarithms to Solve the Equation 6−2x=406 ^ { - 2 x } = 406−2x=40

Use Logarithms to Solve the Equation $6 ^ { - 2 x } = 40$