4 to what power is 256? Try a few on your calculator or in that super-human brain of yours.
Answer
4
Example 2
Evaluate .
Hint
2 to what power is .
Answer
Example 3
Evaluate 10log10 10.
Hint
Ahh. Tricky tricky. First evaluate the log. Then, raise 10 to the power of your answer.
Answer
10
Example 4
Rewrite 3 × 3 × 3 × 3 × 3 in exponential and logarithmic form.
Hint
The base is 3. Remember that.
Answer
Exponential form: 35. Logarithmic form: log3 243
Example 5
Rewrite log 3 – log 2 as one logarithm.
Hint
The base is 10 since there is no base written for each log. Also, it is a subtraction problem so we need to use the division property of logarithms. Divide and conquer.
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