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:
- The given expression is log(4x^3).
- 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.
- Then, using another log property, log a^n = n log a, we can simplify log x^3 as 3 log x.
- So, the final expression is log 4 + 3 log x.
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