Exponential and Logarithmic Functions Exercises

Example 1

Evaluate log₄ 256.

Hint

4 to what power is 256? Try a few on your calculator or in that super-human brain of yours.

Example 2

Evaluate .

Hint

2 to what power is .

Example 3

Evaluate 10^{log₁₀ 10}.

Hint

Ahh. Tricky tricky. First evaluate the log. Then, raise 10 to the power of your answer.

Example 4

Rewrite 3 × 3 × 3 × 3 × 3 in exponential and logarithmic form.

Hint

The base is 3. Remember that.

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.

Exponential and Logarithmic Functions Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

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