SOLUTION: Express as a sum or difference of logarithms: 1) log a sqrt(x^4/y^3z^5) It is y^3•z^5. Sorry for the inconveniences, Thank you! 😊

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express as a sum or difference of logarithms: 1) log a sqrt(x^4/y^3z^5) It is y^3•z^5. Sorry for the inconveniences, Thank you! 😊      Log On


   

Question 1189110: Express as a sum or difference of logarithms:
1) log a sqrt(x^4/y^3z^5)

It is y^3•z^5. Sorry for the inconveniences, Thank you! 😊
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

assuming you have
log%28a%2Csqrt%28x%5E4%2F%28y%5E3z%5E5%29%29%29
log%28a%2Csqrt%28%28x%5E2%29%5E2%29%29-log%28a%2Cy%5E3%2Az%5E5%29%29
log%28a%2Cx%5E2%29-%28log%28a%2Cy%5E3%29%2Blog%28a%2Cz%5E5%29%29
2log%28a%2Cx%29-%283log%28a%2Cy%29%2B5log%28a%2Cz%29%29
2log%28a%2Cx%29-3log%28a%2Cy%29-5log%28a%2Cz%29

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor got lost in her work and ended up with the wrong answer....

log%28a%2Csqrt%28x%5E4%2Fy%5E3z%5E5%29%29

log%28a%2C%28x%5E2%2Fy%5E%283%2F2%29z%5E%285%2F2%29%29%29

log%28a%2Cx%5E2%29-log%28a%2Cy%5E%283%2F2%29%29-log%28a%2Cz%5E%285%2F2%29%29

or

2log%28a%2Cx%29-%283%2F2%29log%28a%2Cy%29-%285%2F2%29log%28a%2Cz%29