SOLUTION: Using laws of logarithms, write the expression below using sums and/or differences of logarithmic expressions which do not contain the logarithms of products, quotients, or powers.
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Question 1061258: Using laws of logarithms, write the expression below using sums and/or differences of logarithmic expressions which do not contain the logarithms of products, quotients, or powers. Enter the natural logarithm of x as ln(x) or log(x). Use decimals instead of fractions.
ln(x^3((sqrt(x-3)) / 4x+5) = Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! ln(x^3((sqrt(x-3)) / 4x+5) =
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ln(x^3((sqrt(x-3)) - ln(4x+5) =
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used logarithmic division rule
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ln(x^3) + ln((x-3)^(1/2)) - ln(4x+5) =
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used logarithmic multiply rule
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3ln(x-3) + ln(x-3)/2 -ln(4x+5)
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3ln(x)/ln(3) + ln(x)/2ln(3) - ln(4x+5)
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Note 3/ln(3) = 2.7307, 1/2ln(3) = 0.4551
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2.7307ln(x) + 0.4551ln(x) - ln(4x+5)
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