1 + 3 × 3 Log 100: Understanding the Calculation
In this article, we will break down the calculation 1 + 3 × 3 log 100 and explore the steps to evaluate it.
Understanding the Elements
Before we dive into the calculation, let's understand the individual elements involved:
1: a constant value3: a constant value3 log 100: a logarithmic expressionlog: the logarithmic function100: the argument of the logarithmic function
Evaluating the Logarithmic Expression
To evaluate the logarithmic expression 3 log 100, we need to understand the concept of logarithms. The logarithm of a number is the power to which a base number must be raised to produce that number. In this case, the base is 10 (since we are dealing with a common logarithm).
Using the property of logarithms, we can rewrite 3 log 100 as:
3 log 100 = 3 × log 100
log 100 is equal to 2, since 10^2 = 100. Therefore:
3 log 100 = 3 × 2
3 log 100 = 6
Evaluating the Entire Expression
Now that we have evaluated the logarithmic expression, we can move on to evaluating the entire expression:
1 + 3 × 3 log 100
1 + 3 × 6
Multiply 3 by 6:
1 + 18
Finally, add 1 to the result:
19
Conclusion
The final result of the calculation 1 + 3 × 3 log 100 is 19. In this article, we broke down the calculation into smaller parts, evaluated the logarithmic expression, and finally evaluated the entire expression.
