Solve the equation. Give an exact solution.
-$6 ^ { 2 x } = 2.2$
A) $\frac { \log 2.2 } { 2 \log 6 }$

B) $\frac { 2.2 \log 2 } { \log 6 }$

C) $\frac { \log 2.2 } { 6 \log 2 }$

D) $\frac { 2 \log 2.2 } { \log 6 }$

Question

Solve the equation. Give an exact solution.
-$6 ^ { 2 x } = 2.2$
A) $\frac { \log 2.2 } { 2 \log 6 }$

B) $\frac { 2.2 \log 2 } { \log 6 }$

C) $\frac { \log 2.2 } { 6 \log 2 }$

D) $\frac { 2 \log 2.2 } { \log 6 }$

Quizplus · Accepted Answer

To solve $6^{2x} = 2.2$, take the logarithm of both sides to get $2x \log 6 = \log 2.2$. Solving for $x$ gives $x = \frac{\log 2.2}{2 \log 6}$, which matches choice A.

Solve the Equation 62x=2.26 ^ { 2 x } = 2.262x=2.2

Solve the Equation $6 ^ { 2 x } = 2.2$