SOLUTION: Solve the following equation for x: ln 4x + ln 2x=1 I ended up multiplying the 4x and 2x to get e over 8 but I don't think that's correct.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following equation for x: ln 4x + ln 2x=1 I ended up multiplying the 4x and 2x to get e over 8 but I don't think that's correct.      Log On


   

Question 744236: Solve the following equation for x:
ln 4x + ln 2x=1
I ended up multiplying the 4x and 2x to get e over 8 but I don't think that's correct.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equation for x:
ln 4x + ln 2x=1
I ended up multiplying the 4x and 2x to get e over 8 but I don't think that's correct.
Close, but it's sqrt of e/8
===============
ln 4x + ln 2x=1
Adding logs --> multiply
ln%288x%5E2%29+=+1+=+ln%28e%29
8x%5E2+=+e
x%5E2+=+e%2F8
x+=+sqrt%282e%29%2F4
x+=+-sqrt%282e%29%2F4 --> ln of negative numbers, ignore