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

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

1. 1/100 1

2. 1/10 0

3. 1 -1

4. 10 -2

5. 100 2

1 Answer

  • 1/100 is 1/10^2 or 10^-2. So the base 10 log of 1/100 is -2.

    In each case, ask yourself how you could write that x value as a power of 10. The exponent is the y value. 1/100 can be written as 10^(-2) and the exponent is -2. So that is the corresponding y value.

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