calc_tutorial_1_6

Problem Statement

rand(2,5)

5*(pow(2,5))

160*(4/5)

5+2

Calculate directly without using a calculator.

Step 1

Question Sequence

Question 1

Recall the product law of logarithms

log_b(x) + log_b(y) = log_b()

Incorrect

Correct

Step 2

Question Sequence

Question 3

Observing that the base of log₂(128) is 2, write 128 as a power of 2.

where b = .

Incorrect

Correct

Step 3

At this point, there are at least two ways to continue simplifying. We will choose to use the power law of logarithms.

Question Sequence

Question 4

Thus,

where b = .

Incorrect

Correct

Step 4

Question Sequence

Question 5

One further law of logarithms is needed to complete the problem:

log_b(b) =

Incorrect

Correct

Problem Statement

Step 1

Question Sequence

Question 1

Question 2

Step 2

Question Sequence

Question 3

Step 3

Question Sequence

Question 4

Step 4

Question Sequence

Question 5

Question 6