SOLUTION: Express as a single logarithm. 40 log5 5 square root of x + log5(40x6) - log5 40

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Question 1004000: Express as a single logarithm.
40 log5 5 square root of x + log5(40x6) - log5 40

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Express as a single logarithm.
40 log5 5 square root of x + log5(40x6) - log5 40
40log%285%2Csqrt%28x%29%29%2B+log%285%2C40x%5E6%29+-+log%285%2C40%29
deal with the first term
40log%285%2Csqrt%28x%29%29 = log%285%2C%28x%5E%281%2F2%29%29%5E40%29 = log%285%2Cx%5E20%29
now we have
log%285%2Cx%5E20%29%2Blog%285%2C40%2Ax%5E6%29-log%285%2C40%29
plus is multipy, minus is divide
log%285%2C%28x%5E20%2A40%2Ax%5E6%29%2F40%29
40 cancels, add the exponents of the like terms x
log%285%2Cx%5E26%29