SOLUTION: find the value of x in each of the following (a) log x 1/125 = -3 (b) 2log3 x + 1/2 log3 16= log6 36

Algebra ->  Exponents -> SOLUTION: find the value of x in each of the following (a) log x 1/125 = -3 (b) 2log3 x + 1/2 log3 16= log6 36      Log On


   

Question 1116195: find the value of x in each of the following
(a) log x 1/125 = -3
(b) 2log3 x + 1/2 log3 16= log6 36
Answer by Alan3354(69443) About Me  (Show Source):
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find the value of x in each of the following
(a) log x 1/125 = -3
(b) 2log3 x + 1/2 log3 16= log6 36
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Click "Show source" to see how to enter them.
(a) log%28x%2C1%2F125%29+=+-3
log%28x%2C1%2F5%5E3%29+=+-3
log%28x%2C5%5E-3%29+=+-3
x = 5
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(b) 2log%283%2Cx%29+%2B+%281%2F2%29log%283%2C16%29+=+log%286%2C36%29
2log%283%2Cx%29+%2B+%281%2F2%29log%283%2C16%29+=+2
log%283%2Cx%5E2%29+%2B+log%283%2C4%29+=+2+=+log%283%2C9%29
log%283%2C4x%5E2%29+=+log%283%2C9%29
4x^2 = 9
x^2 = 9/4
x = 3/2