Question

What are the potential solutions of log4x+log4(x+6)=2

Answer 1

2 and -8.

Explanation:

trust me

Answer 2

we are given with the logarithmic equation

`log4x+log4(x+6)=2`

Using logarithmic Property

`Loga+Logb=Logab`

we can write

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Take anti-logarithm we get

`image`

Now using Quadratic formula , we can find x as below:

`image`

As we know the logarithm is defined for the negative values.

Hence the possible solution is

`image`