Any numbers you get as solutions you have to plug back into the original equation to check. IMPORTANT - CHECK SOLUTIONS: When solving logarithmic functions, you have to CHECK your solutions for log equations. Once you simplify the log equation using the product, quotient, and/or power properties, you can either 1) solve by using the equality property if you just have one log on each side (with same base), or 2) solve by rewriting into exponential form if you have a log on one side and a number on the other side. If you have a number multiplied in front of a log, as a coefficient, you can use the POWER PROPERTY logarithm formula to bring the coefficient up as a power inside the log argument. If you have more than one log on a side of the equation (with the same base), you can use the PRODUCT PROPERTY (if the logs are added) or the QUOTIENT PROPERTY (if the logs are subtracted) to combine the logs into one log. Solving logarithmic equations with LOGS ON BOTH SIDES: If you have one log on each side of the equation, with the same base, you can use the EQUALITY PROPERTY log formula. In this video, I show you more complicated log equations with more than one log, where you'll need the LOG PROPERTIES (logarithm rules) to simplify and be able to condense down to one logarithm on a side so that you can solve. How?" () for help with converting log to exponential form.
#Solving logs how to
I show a quick recap of how to rewrite a log into exponential form, but for a longer explanation of rearranging into exponential form to evaluate a log, jump to my video "Logarithms. The best way to figure out a log function is to REARRANGE THE LOG INTO EXPONENTIAL FORM and then solve for x. SOLVING LOGARITHMIC EQUATIONS for x: Every logarithm is connected to an exponential form. Nancy formerly of MathBFF explains the steps.įor my video on logarithm basics like how to EVALUATE LOGS, including natural logs (ln x), jump to: This video focuses on solving logarithms in equations and explains how to check the solution for an extraneous solution.
4) For MANY LOGS, SUBTRACTED and ADDED, and using the QUOTIENT property, POWER property, and the other properties of logarithms (log rules), skip to 9:53. 3) For TWO LOGS ADDED together and equaling a number (PRODUCT property), skip to 5:25. 2) For ONE LOG ON EACH SIDE (EQUALITY property), skip to 2:36. To skip ahead: 1) For solving BASIC LOG EQUATIONS, skip to 0:22. MIT grad shows how to solve log equations, using LOG PROPERTIES to simplify and solve.
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