Question

If a,b #1, ab > 0,a #b and logba =logab, then ab =?

Answer 1

Step-by-step explanation

Given, log

b

a=log a

b

⇒

logb

loga

=

loga

logb

⇒(loga) 2

=(logb) 2

⇒(loga) 2

(logb) 2

=0

⇒(loga−logb)(loga+logb)=0

⇒loga−logb=0 OR loga+logb=0

⇒log ab

=0 OR logab=0

⇒log ba

=log1 OR logab=log1

ab

=1 OR ab=1

⇒a=b OR ab=1

hope you liked it

please mark it as brainliest

but given a



=b

∴ab=1