Question 1184865

if log 2 = a; log 3 = b express log 150 in terms of a and b
<pre>{{{matrix(1,3, log ((150)), "=", log ((150(2)/2)))}}} ----- Multiplying 150 by 2, and then DIVIDING by 2

{{{matrix(4,3, log ((150)), "=", log ((300/2)), log ((150)), "=", log (((3 * 100)/2)), log ((150)), "=", log ((3)) + log ((100)) - log ((2)),
log ((150)), "=", log ((3)) + 2 - log ((2)))}}}</pre><pre>{{{highlight_green(matrix(1,3, log ((150)), "=", b + 2 - a))}}} ------- Substituting "b" for log (3), and "a" for log (2)