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Match the y-coordinate with the given x-coordinate for the equation y = log10x.1. 1/100 -2 2. 1/10 0...
5 months ago
Q:
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
Accepted Solution
A:
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