Logarithmic Expressions Worksheets
What are Logarithmic Expressions?
In the intermediate level of mathematics, you have learned various tactics to resolve and simplify expressions with exponents. For instance, if you have an expression x^{3} × x^{5}, then the powers will add to make x^{8}. Similarly, there are other logarithmic expressions that help in resolving logbased questions easily and swiftly.
log_{b} mn = log_{b} m + log_{b}n.
log_{b} (m/n) =log_{b} m  log_{b}n
log_{b}mn = n · log_{b}m.
However, you must keep in mind that similar to the exponents, the above rules work if and only the bases are the same. For instance, log_{b}mn = log_{b}m + log_{d}n can not be simplified because the bases are not the same.

Basic Lesson
Guides students solving equations that involve an Logarithmic Expressions. Demonstrates answer checking. (where x > 0 and b is a positive constant not equal to 1).
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Intermediate Lesson
Demonstrates how to solve more difficult problems. Example: Using the properties of logs, write in expanded: ln[(6x  30)(8x + 24)]^{2}.
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Independent Practice 1
A really great activity for allowing students to understand the concept of Logarithmic Expressions.
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Independent Practice 2
Students find the Logarithmic Expressions in assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with problems to achieve the concepts of Logarithmic Expressions.
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