Simplifying the Expression: 1 + 3 × 3 log(60)
In this article, we will simplify the expression 1 + 3 × 3 log(60) step by step.
Step 1: Understand the Expression
The given expression is 1 + 3 × 3 log(60). To simplify this expression, we need to follow the order of operations (PEMDAS):
- Parentheses: None
- Exponents: log(60)
- Multiplication and Division: 3 × 3
- Addition and Subtraction: 1 + ...
Step 2: Evaluate the Logarithm
The logarithm of 60 is approximately 1.778. So, we can write:
log(60) ≈ 1.778
Step 3: Multiply 3 and log(60)
Now, multiply 3 with the logarithm of 60:
3 × 1.778 ≈ 5.334
Step 4: Add 1 and the Product
Finally, add 1 to the product:
1 + 5.334 ≈ 6.334
Simplified Expression
The simplified expression is:
1 + 3 × 3 log(60) ≈ 6.334
Therefore, the simplified form of the given expression is approximately 6.334.
