Evaluate log of 76000000

Problem

(log_)(76000000)

Solution

1. Identify the base of the logarithm. In common mathematical notation, (log_)() without a specified base typically refers to the common logarithm (base 10).

2. Rewrite the number in scientific notation to make the calculation easier.

76000000=7.6×10

3. Apply the product rule for logarithms, which states that (log_)(a*b)=(log_)(a)+(log_)(b)

(log_)(7.6×10)=(log_)(7.6)+(log_)(10)

4. Simplify the second term using the power rule (log_)(10)=n

(log_)(10)=7

5. Calculate the value of (log_)(7.6) using a calculator or log table.

(log_)(7.6)≈0.8808

6. Sum the values to find the final result.

7+0.8808=7.8808

Final Answer

(log_)(76000000)≈7.8808

Want more problems? Check here!