(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. Calculators Topics Solving Methods Step Reviewer Go Premium. When you add logarithms, you can condense them down into one log by multiplication: Solved exercises of Expanding Logarithms. We can use the rules of logarithms we just learned to condense sums and differences with the same base as a single logarithm.
Next, I'm going to condense inside of the parentheses. condense the expression to the logarithm of a single quantity. When a number is in front of a log, it's actually going to be turned into an exponent when condensed: Use the quotient property of logarithms, logb(x)logb(y)logb(xy) log b ( x ) - log b ( y ) log b ( x y ).
Condensing logarithms are SO fun! (I know, I know, nerd alert!) The first thing to tackle is the numbers in front of the logs. Simplify/Condense log base 5 of 25- log base 5 of 5.
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