F flon Member Joined Feb 17, 2008 Messages 30 Gender Male HSC 2010 Jul 2, 2009 #1 Note! All the logs are base b. if log2 = 0.6 and log3 = 1.2, find a. log6b b. log8 c. log1.5b^2 Thanks in advance.
Note! All the logs are base b. if log2 = 0.6 and log3 = 1.2, find a. log6b b. log8 c. log1.5b^2 Thanks in advance.
annabackwards <3 Prophet 9 Joined Jun 14, 2008 Messages 4,670 Location Sydney Gender Female HSC 2009 Jul 2, 2009 #2 a/ log 6 = log (2x3) = log 2 + log 3 = 0.6 + 1.2 = 1.8 b/ log 8 = log (2^3) = 3log2 = 3 x 0.6 = 1.8 c/ log1.5^2 = 2log1.5 = 2log (3/2) = 2(log 3 - log 2) = 2 (1.2 -0.6) = 1.2
a/ log 6 = log (2x3) = log 2 + log 3 = 0.6 + 1.2 = 1.8 b/ log 8 = log (2^3) = 3log2 = 3 x 0.6 = 1.8 c/ log1.5^2 = 2log1.5 = 2log (3/2) = 2(log 3 - log 2) = 2 (1.2 -0.6) = 1.2