Question

Why does a logarithmic equation sometimes have an extraneous solution?

Answer 1

yeah

Step-by-step explanation: l

Answer 2

The main reason behind this is using properties of logarithm .

like

when solving

• log_2(x+2)+log_2(x-3)=3

There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur

like

• (-2)²=(2)²

But

• -2≠2

Same happens in case of logarithm