Combining Multiple Logarithmic Laws

From the Math 30-1 Information Bulletin 2023-2024

Taken from the Alberta Education website:

“Students are able to use the power law to simplify a logarithmic expression, but many continue to have difficulty combining multiple logarithmic laws to simplify an expression into a single logarithm or to solve a logarithmic equation”.

My suggestion is to employ RED ALERT. When presented with adding and/or subtracting logarithmic terms having the same base, focus on the logarithmic laws. The application of one or more of these laws is typically required. 

You can find the video here.

Combining Multiple Logarithmic Laws Practice