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3log b​ 2−log b​ 2

Question

3log b​ 2−log b​ 2

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Solution

The expression you provided is "3log b​ 2−log b​ 2".

Here are the steps to simplify it:

  1. Apply the rule of logarithms that says log(a) - log(b) = log(a/b). So, the expression becomes log_b(2^3) - log_b(2) = log_b(2^3/2).

  2. Simplify 2^3/2 to get 2^2 = 4. So, the expression becomes log_b(4).

  3. If the base 'b' is 2, then the expression simplifies to 2. If the base 'b' is not specified, then the expression remains as log_b(4).

This problem has been solved

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