#Condense logarithms how to

So loga (aanything) anything It works in the other direction too, so a (loga (anything) anything As long as 'anything' is not 0. (logx 12 y 4/5 x 3 ) - (logzh 2/5 g 8/5 ) **The first parentheses has two 'x' variables so we need to combine them by adding the exponentsįor our last step, we need to condense the two separate logs in the parentheses into one log. Exponents and Logarithms work well together because they undo each other (so long as the base a is the same). Just Keith 10 years ago If the base of both the log and the exponent are the same, they cancel each other out.

When you add logarithms, you can condense them down into one log by multiplication: Next, I'm going to condense inside of the parentheses.

A logarithmic expression is an expression having logarithms in it. Solve various equations (1) Combine the logarithms into one single logarithm 1. In the following exercises, use the Properties of Logarithms to expand the logarithm.

#Condense logarithms how to

(logx 12 + logy 4/5 + logx 3 ) - (logz + logh 2/5 + logg 8/5 ) 4,498 views Learn how to condense logarithmic expressions. When a number is in front of a log, it's actually going to be turned into an exponent when condensed:

Condensing logarithms are SO fun! (I know, I know, nerd alert!) The first thing to tackle is the numbers in front of the logs.