SOLUTION: Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where​ possible, evaluate logarithmic ex

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Question 1197627: Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where​ possible, evaluate logarithmic expressions

1/4 [3ln(x+8)−lnx−ln(x^2−49)]
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Use two rules of logarithms:

ln%28x%29-ln%28y%29=ln%28x%2Fy%29

a%2Aln%28x%29=ln%28x%5Ea%29

Taking the translation one step at a time....

3ln%28x%2B8%29=ln%28%28x%2B8%29%5E3%29

3ln%28x%2B8%29-ln%28x%29=ln%28%28%28x%2B8%29%5E3%29%2Fx%29