Question

Condense the expression 3logC - 15log(ab) + b to a single logarithm.

a) log(C^3/ab^15) + b
b) log(C^3) - log(ab^15) + b
c) log(C^3) + log(b) - log(ab^15)
d) log(C^3) + b - 15log(ab)

Answer 1

To condense the expression 3logC - 15log(ab) + b to a single logarithm, apply the properties of logarithms.

Step-by-step explanation:

To condense the expression 3logC - 15log(ab) + b to a single logarithm, we can use the properties of logarithms.

First, let's apply the property log(a) - log(b) = log(a/b) to condense the first two terms:

3logC - 15log(ab) = log(C^3) - log((ab)^15)

Next, we can use the property log(a) + log(b) = log(ab) to condense the resulting expression:

log(C^3) - log((ab)^15) + b = log(C^3) + log(b) - log((ab)^15) + b

Therefore, the condensed expression is option c) log(C^3) + log(b) - log(ab^15) + b.