Question

50 points

Answer 1

Answer:9

Step-by-step explanation: Problem. Evaluate the expression log2

1

8 without using a calculator.

Solution. We know that 1

8 = 2−3

. Therefore, log2

1

8 = −3.

Problem 6

Problem. Write the exponential equations as logarithmic equations.

(a) 272/3 = 9.

(b) 163/4 = 8.

Solution. (a) The base is 27 and the exponent (logarithm) is 2/3. So the logarithmic

equation is

log27 9 =

2

3

.

(b) The base is 16 and the exponent (logarithm) is 3/4. So the logarithmic equation

is

log16 8 =

3

4

.

Problem 9

Problem. Sketch the graph of the function y = 2x by hand