SOLUTION: Write the expression 4log(𝑦^4 x^-2)-3log(x^3/y^2)+5log(x^2 5√y^3) as one logarithm. You do not need to simplify your answer

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write the expression 4log(𝑦^4 x^-2)-3log(x^3/y^2)+5log(x^2 5√y^3) as one logarithm. You do not need to simplify your answer      Log On


   

Question 1161774: Write the expression 4log(𝑦^4 x^-2)-3log(x^3/y^2)+5log(x^2 5√y^3) as one logarithm. You do not need to simplify your answer
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Messy; but straightforward....

(1) Change the multipliers for each log to exponents
4log%28%28%28y%5E4%29%28x%5E%28-2%29%29%29%29 --> log%28%28%28%28y%5E4%29%28x%5E%28-2%29%29%29%5E4%29%29

3log%28%28%28x%5E3%29%2F%28y%5E2%29%29%29 --> log%28%28%28%28x%5E3%29%2F%28y%5E2%29%29%5E3%29%29

5log%28%28%28x%5E2%29%28y%5E%283%2F2%29%29%29%29 --> log%28%28%28%28x%5E2%29%28y%5E%283%2F2%29%29%29%5E5%29%29

(2) Change added logs to multiplications; change subtracted logs to divisions

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