All High School Math Resources
Example Question #1 : Using Logarithms With Exponents
Evaluate by hand
Cannot be found by hand
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 #2 : Using Logarithms With Exponents
Use the power reducing theorem:
Example Question #3 : Using Logarithms With Exponents
Which of the following expressions is equivalent to ?
According to the rule for exponents of logarithms,. As a direct application of this,.
Example Question #4 : Using Logarithms With Exponents
Simplify the expression below.
Based on the definition of exponents, .
Then, we use the following rule of logarithms: