Question

Condensing Logarithmic Expression In Exercise,use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.See example 4.

3[In x + In(x + 3) - In(x + 4)]

Answer 1

`[ln((x(x + 3))/((x + 4))]^3`

Explanation:

`3[ln x + ln(x + 3) - ln(x + 4)]`

ln m+ln n = lnmn

multiply the log terms when we have + inbetween

`3[ln x(x + 3) - ln(x + 4)]`

ln m - ln n = ln (m/n)

`3[ln((x(x + 3))/((x + 4))]`

m lnx=lnx^m (move 3 to the exponent)

`[ln((x(x + 3))/((x + 4))]^3`