Question

If xy = 5, evaluate log base 5 (x^2 *y^2). Help! This is driving me crazy!

Answer 1

=2

Answer 2

I think it would be 2.
\[\log_{5} (x^{2} \times y^{2}) \]
if xy = 5, then I think this could be substituted/simplified as \[\log_{5}(5^{2}) = 2\log_{5}(5) = 2 \times 1 = 2\]

Answer 3

here xy=5
log base5(x^2y^2)
=log base5(xy)2
=2logbase5(5)
since log base5(5)=1
ans is 2

Answer 4

Is it OK

Answer 5

log base5(xy)^2
=log base5(5)^2
=2log base5(5)
=2x1=2 ans

Answer 6

any question?

Answer 7

Thanks everyone! No questions. I knew it was an easy one but could not get it.