Asked by Tatiana
How come log5 25^4 reduces to 4 log5 25
then 4 times 2
then finally eight?
then 4 times 2
then finally eight?
Answers
Answered by
Damon
log x^n = n log x
so
log5 25^4 = 4 log5 25
25 = 5^2
so
4 log5 25 = 4 log5 5^2
= 4*2 log5 5
5^(log5 x) = x
5^(log5 5) = 5
so
log5 5 = 1
SO
4*2*1 = 8
so
log5 25^4 = 4 log5 25
25 = 5^2
so
4 log5 25 = 4 log5 5^2
= 4*2 log5 5
5^(log5 x) = x
5^(log5 5) = 5
so
log5 5 = 1
SO
4*2*1 = 8
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.