Final answer:
The logarithm base 10 of a number represents the power to which 10 must be raised to equal that number. The logarithm base 10 of 7, 5, and 8 is 0, while the logarithm base 10 of 10 is 1.
Step-by-step explanation:
The logarithm base 10 of a number is the power to which 10 must be raised to equal that number. To find the logarithm base 10 of each number, you can simply count the number of zeros in the number. Let's find the logarithm base 10 of each number:
a) 7 has 0 zeros, so log10 7 = 0
b) 5 has 0 zeros, so log10 5 = 0
c) 8 has 0 zeros, so log10 8 = 0
d) 10 has 1 zero, so log10 10 = 1
The question asks for the common logarithm (logarithm base 10) of the number 10 to the power of 7. The common logarithm of a number is the exponent that 10 must be raised to in order to obtain that number. In this case, since the number is 10 raised to the 7th power (107), the common logarithm of 107 is simply 7. This is due to the basic property of logarithms where logbase (baseexponent) = exponent. So, log10(107) = 7.