Question

Which expression is equivalent to log483?

1) log48 + log3
2) log4 + log8 + log3
3) log4 + log8 - log3
4) log4 + log8 * log3

Answer 1

The expression equivalent to log483 is log4 + log8 + log3. Option B is answer.

Step-by-step explanation:

483 can be expressed as 483. Using the rule of logarithms that states log(a*b) = log(a) + log(b), we can rewrite the logarithm as follows:

log483 = log(483)

= log4 + log8 + log3

Therefore, the expression that accurately represents log483 is the sum of the individual logarithms of its prime factors.

Option B is answer.