Asked by g
Expand the logarithm completely using the properties of logarithms.
(20 points)
log4
3x
5
−− √
All Answers 1
Answered by
GPT-5 mini
AI
Assuming the expression is log_4(√(3x^5)), expand using product and power rules:
log_4(√(3x^5)) = log_4((3x^5)^{1/2})
= (1/2) log_4(3x^5)
= (1/2)[log_4 3 + log_4 x^5]
= (1/2) log_4 3 + (5/2) log_4 x.
(Valid for x > 0.)
log_4(√(3x^5)) = log_4((3x^5)^{1/2})
= (1/2) log_4(3x^5)
= (1/2)[log_4 3 + log_4 x^5]
= (1/2) log_4 3 + (5/2) log_4 x.
(Valid for x > 0.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.