Solve for x.
-2 - ln(x + 3) = ln 4
A) x = ln 4 - 1
B) x = 2e
C) x = -3
D) x = $\frac { 1 } { 4 }$ $e ^ { 2 }$ - 3

Question

Solve for x. 
-2 - ln(x + 3) = ln 4
A) x = ln 4 - 1
B) x = 2e
C) x = -3
D) x = $\frac { 1 } { 4 }$ $e ^ { 2 }$ - 3

Quizplus · Accepted Answer

To solve for x, first isolate the natural logarithm on one side: ln(x + 3) = ln(4) + 2. Then, apply the property that ln(a) + ln(b) = ln(a*b), which gives ln(x + 3) = ln(4 * e^2). Since ln(a) = ln(b) implies a = b, set x + 3 = 4e^2. Solving for x gives x = 4e^2 - 3, which matches option D.

Solve for X 14\frac { 1 } { 4 }41​ e2e ^ { 2 }e2

Solve for X $\frac { 1 } { 4 }$ $e ^ { 2 }$