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 […]

Combine Like Terms – College Algebra

As it is, this equation could be useful for Grant, but I think that it could be more helpful if it looked a little bit cleaner. So, let’s simplify. But wait, how do we deal with this minus sign and these parentheses around this part of the expression? We see like terms here so we […]

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 […]

Joint and Combined Variation

BAM! Mr. Tarrou. In this video, we are going to expand our knowledge of variation problems whether direct or inverse variation and introduce some more complexity of the problem cause in real life, things are always just a relationship between just two variables. There’s a lot of times especially in like physics problems and electrical […]

Art of Problem Solving: Combining Like Terms with Multiple Variables

We know how to simplify these one-variable expressions like this. We bring all the terms that have variables in them, the “like terms,” the 3x, the 7x, the minus 2x, we bring all those together. Write this as 3x plus 7x minus 2x. And then we put the constants together over here. Plus 4, minus […]