Question

In Exercise, use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.

In y + In(x+1)

Answer 1

Use the product rule [ log(xy) = log(x) + log(y) ] to rewrite the expression.

In(y) + In(x + 1)

ln(y(x+1))

→ ln(xy + y) ←

Best of Luck!

Answer 2

After simplification answer will be
`ln(xy+y)`

Explanation:

We have given the expression
`lny+ln(x+1)`

We have to simplify the expression in single quantity with the help of logarithmic property

According to logarithmic property when two log function are added to each other then their are multiplied with each other

So
`lny+ln(x+1)=ln(y* (x+1))=ln(xy+y)`