SOLUTION: 6^(3-4x) x 4^(x+4) = 2 Solve giving answer to 2 decimal places.

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Question 1000271: 6^(3-4x) x 4^(x+4) = 2
Solve giving answer to 2 decimal places.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6%5E%283-4x%29+%2A+4%5E%28x%2B4%29+=+2....use log

log%286%5E%283-4x%29+%2A+4%5E%28x%2B4%29%29+=log%28+2%29....write 6%5E%283-4x%29as 3%5E%283-4x%29%2A2%5E%283-4x%29 and 4%5E%28x%2B4%29%29 as 2%5E%282x%2B8%29
log%28%283%5E%283-4x%29%2A2%5E%283-4x%29+%2A2%5E%282x%2B8%29%29%29+=log%28%28+2%29%29

log%28%283%5E%283-4x%29%2A2%5E%283-4x%2B2x%2B8%29%29%29+=log%28%28+2%29%29

log%28%283%5E%283-4x%29%2A2%5E%2811-2x%29%29%29+=log%28%28+2%29%29

log%28%283%5E%283-4x%29%29%2Blog%28%282%5E%2811-2x%29%29%29%29+=log%28%28+2%29%29

%283-4x%29log%28%283%29%29%2B%2811-2x%29log%28%282%29%29%29+=log%28%28+2%29%29


3log%28%283%29%29%2B10log%28%282%29%29=2x%28log%28%283%29%29%2Blog%28%282%29%29%29
x=%283log%28%283%29%29%2B10log%28%282%29%29%29%2F2%28log%28%283%29%29%2Blog%28%282%29%29%29