We'll take on some gruesome expressions that involve logs and learn to write the expressions as a single logarithm. It's time to get back to mathematics and try simplifying logs using concrete formulas. Quite a few physical units are based on logarithms, for instance, the Richter scale, the pH scale, and the dB scale.Īlright, that should be enough of a description for now.Chemistry, e.g., the half-life decay and.Medicine, e.g., the Quantitative Insulin Sensitivity Check Index (QUICKI).Statistics, e.g., the lognormal distribution.After all, whatever we raise to power 0 0 0, we get 1 1 1. Whatever the base, the logarithm of 1 1 1 is equal to 0 0 0. using the second property: When working with logs, re-write any radicals as rational exponents. In other words, whenever we write log a b \log_a b lo g a b, we require b b b to be positive. CONDENSED EXPANDED Properties of Logarithms (these properties are based on rules of exponents since logs exponents) Using the log properties, write the expression as a sum and/or difference of logs (expand). When they tell you to 'simplify' a log expression, this usually means they will have given you lots of log terms, each containing a simple argument, and they want you to combine everything into one. This process is the exact opposite of condensing logarithms because you compress a bunch of log expressions into a simpler one. The logs rules work 'backwards', so you can condense ('compress') strings of log expressions into one log with a complicated argument. Create a free account, set a strong password, and proceed with email verification to start working on your templates. Follow this simple guideline redact 05-06 Sample Quiz - Expand
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