Question

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

1. 1/100 -2

2. 1/10 0

3. 1 2

4. 10 1

5. 100 -1

Answer 1

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

1. 1/100

3

0

2. 1/10

1

-2

3. 100

2

-1

4. 1

5

2

5. 10

4

1

Answer 2

1. log10 (1/100)=log10 (1/10^2)=log10 10^(-2)=(-2) log10 10=(-2)(1)=-2

2. log10 (1/10)=log10 10^(-1)=(-1) log10 10=(-1)(1)=-1

3. log10 (1)=0

4. log10 (10)=1

5. log10 (100)=log10 (10^2)=(2) log10 10=(2)(1)=2

Answers:
x y
1. 1/100 -2
2. 1/10 -1
3. 1 0
4. 10 1
5. 100 2