if log3=a and log4=b, express log72 in terms of a and b

Question

0

1089

1

Guest Feb 12, 2015

+118667

+10

Best Answer

if log3=a and log4=b, express log72 in terms of a and b

$$log72\\
=log(9*8)\\
=log9+log8\\
=log3^2+log4^{(3/2)}\\
=2log3+1.5log4\\
=2a+1.5b$$

Melody Feb 12, 2015

Melody · Answer 1 · 2015-02-12T12:35:45

if log3=a and log4=b, express log72 in terms of a and b

$$log72\\
=log(9*8)\\
=log9+log8\\
=log3^2+log4^{(3/2)}\\
=2log3+1.5log4\\
=2a+1.5b$$