Question

What expression is equivalent to 3log 4+log 6-log 8?

Answer 1

The expression is equivalent to log(48).

Step-by-step explanation:

The expression equivalent to 3log 4+log 6-log 8 can be simplified using the properties of logarithms.

1. Use the property log(a) + log(b) = log(a * b) to combine the first two terms: 3log 4 + log 6 = log(4³ * 6) = log(384).
2. Use the property log(a) - log(b) = log(a / b) to subtract the third term: log(384) - log 8 = log(384 / 8) = log(48).

Therefore, the expression is equivalent to log(48).