If log 6 = m and log 5 = n, write log 7.2 as an expression in m and n.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We can write 7.2 as 6*6/5

log 7.2 = log 6*6 / 5 = log 6^2 / 5

Now log (a^b) = b* log a and log (a/b) = log a - log b

log (6^2 / 5)

=> 2 log 6 - log 5

as log 6 = m and log 5 = n

=> 2m - n

Therefore log 7.2 = 2m - n

Approved by eNotes Editorial Team

Posted on

Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial