Question

using the property of logarithm, how would I expand this/?

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Answer 1

\[\log_{5} \sqrt{x^2/y^5p^3}\]

Answer 2

\[\log_5 x^{1/2} . y^{-5/2} . p^{-3/2}\]

log AB = log A + log B

Now write it in this form.

Answer 3

(1/2 log5 x) + (-5/2 log5 y) + (-3/2 log5 p )

Answer 4

Good.

Answer 5

thats it?

Answer 6

Now if you WANT!
You CAN solve it further. with a calc.

OR

Yeah, That's it. :)

Answer 7

wait a minute! where did the fractional exponents come from ?

Answer 8

Sry for x it should be x^1 :D

Answer 9

so you mulitply all exponents with 1/2 . and when it in denominator you multiplied it by -1/2 , true?

Answer 10

PERFECT! :D

Answer 11

and then you multiply all variables?

Answer 12

Yes, but add them in log form.

Answer 13

okay so if its in cube root , multiply it by 1/3 ?

Answer 14

Yes. :)

Answer 15

thanks again @AkashdeepDeb :)

Answer 16

:)

Answer 17

case closed ( feels like FBI )

Answer 18

LOL! :D