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Use multiple log properties to write as a sum or difference of two logs: log(4x^3).Question 36Answera.log 12 + log xb.3 log 4 + 3 log xc.3 log 4 + log xd.log 4 + 3 log x

Question

Use multiple log properties to write as a sum or difference of two logs: log(4x^3).Question 36Answera.log 12 + log xb.3 log 4 + 3 log xc.3 log 4 + log xd.log 4 + 3 log x

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Solution

The correct answer is d. log 4 + 3 log x.

Here's the step-by-step solution:

  1. The given expression is log(4x^3).
  2. According to the log properties, log(ab) = log a + log b, we can separate 4 and x^3 as follows: log 4 + log x^3.
  3. Then, using another log property, log a^n = n log a, we can simplify log x^3 as 3 log x.
  4. So, the final expression is log 4 + 3 log x.

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