Which statement is true about log base 10 values?

Which statement is true about log base 10 values?

• A. log10(1) = 2
• B. log10(100) = 1
• C. log10(0.01) = -3
• D. log10(1000) = 3

Answer: (D)

Logarithms tell you the exponent you must raise the base to obtain a number. For base 10, the powers go 10^0 = 1, 10^1 = 10, 10^2 = 100, 10^3 = 1000, and so on. Since 1000 is 10^3, the logarithm base 10 of 1000 is 3. That makes the statement true. The other options would require 10^2 = 100 for the second, 10^0 = 1 for the first, and 10^-2 = 0.01 for the third, which show they don’t match the given values.

Logarithms tell you the exponent you must raise the base to obtain a number. For base 10, the powers go 10^0 = 1, 10^1 = 10, 10^2 = 100, 10^3 = 1000, and so on. Since 1000 is 10^3, the logarithm base 10 of 1000 is 3. That makes the statement true. The other options would require 10^2 = 100 for the second, 10^0 = 1 for the first, and 10^-2 = 0.01 for the third, which show they don’t match the given values.