Question

Which properties of logarithms would help you simplify log, 57+log, 74? (Select all that apply.)

product property
change of base rule
quotient property
power property

Answer 1

Answer: 1. (Option C.) Quotient property: loga(bc) = loga(b) + loga(c)

2. (Option B.) Change of base rule: logb(c) = loga(c) / loga(b)

Explanation:

Using the quotient property, you can simplify log57 + log74 as follows:

log57 + log74 = log(57 * 74) = log(4198)

Alternatively, you could use the change of base rule to convert the logarithms to the same base, then use the quotient property to simplify the expression.

Hope this helps.