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Example 13 from Algebra and Trigonometry, 6.5 Logarithmic Properties
Change to a quotient of natural logarithms.
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Because we will be expressing as a quotient of natural logarithms, the new base,
We rewrite the log as a quotient using the change-of-base formula. The numerator of the quotient will be the natural log with argument 3. The denominator of the quotient will be the natural log with argument 5.
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Change to a quotient of natural logarithms.
How did it go?