`ln(6/sqrt(x^2 + 1))` Use the properties of logarithms to expand the expression as a sum, difference, and or constant multiple of logarithms. (Assume all variables are positive.)

loves2learn | Student

Expand by using subtraction,

Given,

`ln(6/sqrt(x^2+1)) `

Then, expanding and bringing down the exponent where necessary,

`ln(6/sqrt(x^2+1))=ln6-(1/2)ln(x^2+1) `