Question

Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)

Answer 1

log7(x-2)

Explanation:

Use of property: log(ab) = log(a) + log(b)

• log7(x²+5x−14)−log7(x+7) =

• log7(x+7)(x-2) - log7(x+7) =

• log7(x+7) + log7(x-2) - log7(x+7) =

• log7(x-2)