Question

Solve the logarithmic equation. Thanks?!!

Answer 1

See process below

Explanation:

`ln(x-8)-ln(x+7)=ln(x-10)-ln(x+8)`. Using logarithmic rules we have

`ln((x-8)/(x+7))=ln((x-10)/(x+8))`

Because `ln` is an inyective function, the expresions which is apply are the same. Thus

`(x-8)/(x+7)=(x-10)/(x+8)`. Trasposing terms

`cancelx^2-64=(x+7)(x-10)=cancelx^2-10x+7x-70`. Thus we have

`3x=-6`. Finally `x=-2`