Question

Find y in terms of x for ln(y)=ln(x)+2

Answer 1

y = e²x

Explanation:

Using the rules of logarithms

log y - log x = log (
`(y)/(x)` )

`log_(b)` x = n ⇔ x =
`b^(n)`

Given

ln(y) = ln(x) + 2 ( subtract ln(x) from both sides )

ln(y) - ln(x) = 2

ln (
`(y)/(x)` ) = 2

`(y)/(x)` = e² ( multiply both sides by x )

y = e²x