Question #7ddc5

2 Answers
Jun 18, 2017

x=3y^2

Explanation:

Add 2ln(y) to both sides of the equation

ln(x)=ln(3)+2ln(y)

Exponentiate both sides of the equation

e^(ln(x))=e^(ln(3)+2ln(y))

x=e^(ln(3))e^(2ln(y))

x=3e^(ln(y^2))

x=3y^2

Jun 18, 2017

A different approach.

x=3y^2

Explanation:

Note that 2ln(y) is the same as ln(y^2) so we may write the given equation in the form of:

ln(x)-ln(y^2)=ln(3)

Subtraction of logs is the result taking logs of a division of the source values. So we may write this as:

ln(x/y^2)=ln(3)

Given that this is true then it is also true that:

x/y^2=3

Thus " "x=3y^2