Question

Use the logarithm rules to combine into a single expression: In(a + b) + In(a - b)

Answer 1

ln(a^2-b^2)

Answer 2

when u add logs of the same base u can multiply whats inside the parenthesis. in this case its a+b and a-b which multiplies to
a^2-b^2

Answer 3

ln(a+b)+ln(a-b)

ln[(a+b)*(a-b)]

ln(a^2-ab+ab-b^2)

ln(a^2-b^2)


So ln(a+b)+ln(a-b)=ln(a^2-b^2)