All High School Math Resources
Example Questions
Example Question #1 : Simplifying Logarithms
Evaluate by hand
Possible Answers:
Cannot be found by hand
Correct answer:
Explanation:
Using the logarithm rules, exponents within logarithms can be removed and simply multiplied by the remaining logarithm. This expression can be simplified as
Example Question #1 : Simplifying Logarithms
Solve for
Possible Answers:
Correct answer:
Explanation:
Use the power reducing theorem:
and
Example Question #1 : Simplifying Logarithms
Which of the following expressions is equivalent to ?
Possible Answers:
Correct answer:
Explanation:
According to the rule for exponents of logarithms,. As a direct application of this,.
Example Question #1 : Simplifying Logarithms
Simplify the expression below.
Possible Answers:
Correct answer:
Explanation:
Based on the definition of exponents, .
Then, we use the following rule of logarithms:
Thus, .
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