Question

Solve:
3e2x + 2 = 50

A. ln 8
B. ln 0.25
C. ln 14
D. 0.5ln 16

Answer 1

algebra
\[3e^{2x}+2=50\]\[3e^{2x}=48\]\[e^{2x}=16\]write in equivalent logarithmic form to get the variable out the exponent
\[2x=\ln(16)=\ln(2^4)=4\ln(2)\]divide by 2\[x=2\ln(2)\]

Answer 2

since this is not one of your "answer choices" i guess you need to stop at
\[2x=\ln(16)\] and then divide by 2 to get
\[x=.5\ln(16)\] which is a rather dumb way to write \(2\ln(2)\)

Answer 3

Thanks so much!!