What is log base 10 of 1000?

What is log base 10 of 1000?

• A. 2
• B. 4
• C. 3
• D. 1

Answer: (C)

Logarithms ask: what exponent must you raise the base to in order to get the number? For base 10, the question is: what power of 10 gives 1000? Since 10 raised to the 3rd power equals 1000, the exponent is 3. In other words, log base 10 of 1000 = 3. You can check quickly: 10^2 = 100, 10^3 = 1000, 10^4 = 10000; only the exponent 3 yields 1000, so the value is 3.

Logarithms ask: what exponent must you raise the base to in order to get the number? For base 10, the question is: what power of 10 gives 1000? Since 10 raised to the 3rd power equals 1000, the exponent is 3. In other words, log base 10 of 1000 = 3. You can check quickly: 10^2 = 100, 10^3 = 1000, 10^4 = 10000; only the exponent 3 yields 1000, so the value is 3.