QuestionWrite the expression as a single logarithm.
Studdy Solution
STEP 1
1. We are given a logarithmic expression that needs to be combined into a single logarithm.
2. The properties of logarithms, such as the power rule, product rule, and quotient rule, can be used to simplify the expression.
STEP 2
1. Apply the power rule to each logarithmic term.
2. Combine the logarithmic terms using the product and quotient rules.
STEP 3
Apply the power rule to each term in the expression. The power rule states that .
For the first term:
For the second term:
The third term remains:
STEP 4
Combine the logarithmic terms using the product and quotient rules. The product rule states that , and the quotient rule states that .
Combine the first two terms using the product rule:
Now, combine with the third term using the quotient rule:
The expression as a single logarithm is:
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