Use the laws of logarithms to simplify the expression.

Question

Quizplus · Accepted Answer

We can use the law of logarithms that states log(a*b) = log(a) + log(b). Using this law, we can rewrite the expression as log((eaa8b1)^11 * (db14)^(-9) * (9c26)^(-11) * (b1b6)^(-8) * (e9fb24326e28)^(-11)). Then, using the property that log(a^b) = b*log(a), we can further simplify it as 11*log(eaa8b1) - 9*log(db14) - 11*log(9c26) - 8*log(b1b6) - 11*log(e9fb24326e28). The only option that matches this simplification is option B.

Use the Laws of Logarithms to Simplify the Expression