Solve for x.
-2 ln x + ln $\frac { 1 } { x }$ = 3
A) ± $\sqrt { \ln 3 }$
B) ln 3
C) 1 + $e ^ { 2 }$
D) $\mathrm { e } ^ { 3 }$
E) none of these

Name: Solve for x. -2 ln x + ln $\frac { 1 } { x }$ = 3 A) ± $\sqrt { \ln 3 }$ B) ln 3 C) 1 + $e ^ { 2 }$ D) $\mathrm { e } ^ { 3 }$ E) none of these
Brand: Quizplus
Rating: 4.8 (34 reviews)

Question

Solve for x. 
-2 ln x + ln $\frac { 1 } { x }$ = 3
A) ± $\sqrt { \ln 3 }$
B) ln 3
C) 1 + $e ^ { 2 }$
D) $\mathrm { e } ^ { 3 }$
E) none of these

Quizplus · Accepted Answer

To solve the equation, combine the logarithms: 2 ln x + ln (1/x) = ln (x^2) - ln x = ln (x^2/x) = ln x. So, ln x = 3, which implies x = e^3.

Solve for X 1x\frac { 1 } { x }x1​ = 3 A) ±

Solve for X $\frac { 1 } { x }$ = 3
A) ±