Question

Solving Exponential and Logarithmic Equations In Exercise, solve for x.
In x + In(x - 3) = 0

Answer 1

x will be equal to x = 0.3027 and x = -3.3025

Explanation:

We have given function
`lnx+ln(x-3)=0`

Now according to property of logarithmic

`ln(x* (x-3))=0`

`ln(x^2-3x)=0`

Now according to logarithmic and exponent property

`(x^2-3x)=e^0=1`

`x^2-3x-1=0`

`x=(-3\pm √(3^2-4* 1* -1))/(2* 1)=(-3\pm 3.605)/(2)=0.3027,-3.3025`