SOLUTION: log(base3)(81xy)^8. I have to write it out. so far i have: 8log(base3)x+ 8log(base3)+ 8log(base3)81. is this correct?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(base3)(81xy)^8. I have to write it out. so far i have: 8log(base3)x+ 8log(base3)+ 8log(base3)81. is this correct?      Log On


   

Question 358799: log(base3)(81xy)^8. I have to write it out. so far i have: 8log(base3)x+ 8log(base3)+ 8log(base3)81. is this correct?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log(base3)(81xy)^8. I have to write it out. so far i have: 8log(base3)x+ 8log(base3)+ 8log(base3)81. is this correct?
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log(base3)(81xy)^8
= log%283%2C3%5E32x%5E8y%5E8%29
= 32+%2B+log%283%2Cx%5E8y%5E8%29
= 32+%2B+8log%283%2Cx%29+%2B+8log%283%2Cy%29
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Your answer was correct except you left out the y, and you didn't use the fact that 81 = 3^4.
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Use log(3,x) with the 3 braces { } for legibility.