SOLUTION: logx= log3+2log2-3/4log16

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Question 1028331: logx= log3+2log2-3/4log16
Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
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logx= log3+2log2-3/4log16
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log%28%28x%29%29 = log%28%283%29%29+%2B+2%2Alog%28%282%29%29+-+%283%2F4%29%2Alog%28%2816%29%29%29  --->

log%28%28x%29%29 = log%28%283%29%29+%2B+2%2Alog%28%282%29%29+-+%283%2F4%29%2Alog%28%282%5E4%29%29%29   --->   ( use log%28%282%5E4%29%29 = 4%2Alog%28%282%29%29 )   --->   

log%28%28x%29%29 = log%28%283%29%29+%2B+2%2Alog%28%282%29%29+-+%283%2F4%29%2A4%2Alog%28%282%29%29%29   --->

log%28%28x%29%29 = log%28%283%29%29+%2B+2%2Alog%28%282%29%29+-+3%2Alog%28%282%29%29   --->

log%28%28x%29%29 = log%28%283%29%29+-+log%28%282%29%29   --->

log%28%28x%29%29 = log%28%283%2F2%29%29 --->

x = 3%2F2.