Final answer:
In the equation log(100)=c, we're looking for the power to which the base 10 must be raised to get 100. The answer is that c equals 2 because 10 raised to the power of 2 equals 100.
Step-by-step explanation:
The equation log(100)=c involves finding the value of c when the common logarithm of 100 is taken. The common logarithm (log) is the power to which the base 10 must be raised to obtain the number in question. In this case, since 10 squared (102) is 100, the value of c in the equation log(100)=c is 2.
To calculate a number from its logarithm, we can use 10 raised to the power of the logarithm, which in mathematical notation is represented as 10x, where x is the logarithm. So, if you see an equation like log(x)=y, to find x, you would calculate 10y.