Chapter 1.

1.1 Problem Statement

rand(2,5)
5*(pow(2,$a))
$b*(4/5)
$a+2

Calculate directly without using a calculator.

1.2 Step 1

Question Sequence

Question 1.1

Recall the product law of logarithms

logb(x) + logb(y) = logb(DjL4owsygaI+YRXbIk2IAQ==)

Incorrect
Correct

Question 1.2

Rewrite as a single logarithm.

where a = pZ2Wc6DIXxs=.

Incorrect
Correct

1.3 Step 2

Question Sequence

Question 1.3

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

where b = qjqZz1N+poo=.

Incorrect
Correct

1.4 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 1.4

Thus,

where b = qjqZz1N+poo=.

Incorrect
Correct

1.5 Step 4

Question Sequence

Question 1.5

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

logb(b) = 0VV1JcqyBrI=

Incorrect
Correct

Question 1.6

Thus,

= qjqZz1N+poo=.

Incorrect
Correct