How do you show that this statement is true log_16 2*log_2 16=1?

1 Answer
Jim G.
Nov 18, 2016

see explanation.

Explanation:

Using the color(blue)"laws of logarithms"

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(log_b x=nhArrx=b^n)color(white)(2/2)|)))

rArrlog_16 2=nrArr2=16^nrArrn=1/4

"and " log_2 16=nrArr16=2^nrArrn=4

rArrlog_16 2xxlog_2 16=1/4xx4=1" hence True"

Related questions
See all questions in Common Logs
Impact of this question
1903 views around the world
You can reuse this answer
Creative Commons License