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 express
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Question 1167037: 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.
1/6[5ln (x + 6) - ln x - ln (x 2 - 8)]
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
my development of the solution is shown on the following worksheet.
here it is:
the solution relies on the following concepts.
d * ln(a) = ln(a^d)
ln(a) - ln(b) = ln(a/b)
ln(a/b) - ln(c) = ln((a/b)/c) = ln(a/(b*c))
if you bracket your expressions with 3 { symbols in a row before the expression and 3 } symbols in a row after the expression, then your original expression will look like this:
and your final expression will look like this:
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