Question

Solve 6.26×23.83 using logarithms.
A) 148.98
B) 150
C) 156.5
D) 158.2

Answer 1

To solve 6.26 × 23.83 using logarithms, find the logarithm of each number, add them together, and convert the sum back to a regular number.

Step-by-step explanation:

To solve 6.26 × 23.83 using logarithms, you need to take the logarithm of each number and then add them together. The common logarithm (base 10) is typically used.

1. Find the logarithm of 6.26: log(6.26) ≈ 0.7959
2. Find the logarithm of 23.83: log(23.83) ≈ 1.377
3. Add the logarithms: 0.7959 + 1.377 ≈ 2.1729
4. Convert the sum back to a regular number: 10^2.1729 ≈ 158.2

So the answer to 6.26 × 23.83 is approximately 158.2.