Ex 1: Combining Like Terms

– WE WANT TO COMBINE THE LIKE TERMS IN THE GIVEN EXPRESSIONS. LIKE TERMS ARE TERMS THAT HAVE THE EXACT SAME VARIABLE FACTORS. SO FOR EXAMPLE, WE HAVE 5X + 3X, THESE BOTH CONTAIN 1 FACTOR OF X, AND THEREFORE THEY ARE LIKE TERMS WHICH MEANS THEY CAN BE ADDED OR SUBTRACTED. AND THE WAY […]

Ex: Combine a Sum and Difference of Two Logarithms

TO DEMONSTRATE THE PROPERTIES OF LOGARITHMS, WE’RE ASKED TO WRITE THE SUM OF THESE TWO LOGS AS A SINGLE LOG AND THE DIFFERENCE OF THESE TWO LOGS AS A SINGLE LOG. SO BECAUSE WE’RE TRYING TO COMBINE THE SUM OF TWO LOGS HERE, WE’LL BE USING THE PRODUCT PROPERTY OF LOGARITHMS GIVEN HERE, WHERE LOG […]

Ex 2: Combine a Logarithmic Expression Into One Logarithm

– WE’RE GOING TO COMBINE THE LOG EXPRESSIONS INTO A SINGLE LOG BY USING THE LOG PROPERTIES GIVEN HERE BELOW IN RED. AND SINCE WE’RE COMBINING LOGARITHMS, WE’LL BE USING THESE PROPERTIES IN THIS DIRECTION. LOOKING AT THESE FIRST 2 PROPERTIES, NOTICE THAT IN ORDER TO COMBINE A SUM OR DIFFERENCE OF 2 LOGARITHMS INTO […]

Identify Like Terms and Combine Like

In this lesson we will review how to identify like terms and also how to combine like terms to simplify a polynomial. Two or more terms are like terms if they have the same variable or variables with the same exponent. Another way to think of this is like terms have the exact same variable […]

Ex 1: Combine a Logarithmic Expression Into One Logarithm

– WE WANT TO WRITE THE GIVEN LOG EXPRESSIONS AS A SINGLE LOG OR COMBINE THE LOGARITHMS. TO DO THIS WE’LL BE USING THE PROPERTY OF LOGARITHMS GIVEN HERE BELOW IN RED, THE SAME ONES THAT WE USED TO EXPAND LOGS, BUT NOW WE’LL BE USING THESE PROPERTIES IN THE REVERSE ORDER. OUR FIRST EXPRESSION […]