Example of how to calculate the logarithm of a number using the base 10 logarithm:
Suppose we want to find the logarithm of 1000 to the base 10, denoted as log(1000) or log10(1000).
Step 1: Identify the base. In this case, the base is 10.
Step 2: Identify the argument. In this case, the argument is 1000.
Step 3: Apply the logarithm formula. The formula for the base 10 logarithm is log10(x) = y, where x is the argument and y is the logarithm.
So, log10(1000) = y
Step 4: Solve for y. To find y, we need to ask “what power of 10 gives us 1000?” In other words, we want to find y such that 10^y = 1000.
10^y = 1000 can be rewritten as:
y * log10(10) = log10(1000)
y = log10(1000) / log10(10)
y = 3
Therefore, the base 10 logarithm of 1000 is 3, or log10(1000) = 3.