Question

Prove that log xy base a = log x base a + log y base a​

Answer 1

Step-by-step explanation:

OK,

let,

Log(xy)=logx+logy

suppose a is e as base. as natural log

then, first logx=p

then e^p=x

then also similiarly

logy=q

e^q=y

then xy= e^p+q

log on both sides

logxy=p+q

then put, p and q values

logxy=logx+logy