Please show the steps on how to answer this question. Thank you. 4^{log_(2)5 }

Question

Please show the steps on how to answer this question. Thank you.


`4^{log_(2)5 }`

Answer 1

25

Explanation:

Factor the number 4----->2^2

=\left(2^2\right)^{\log _2\left(5\right)}

add the exponent rule-----> (a^b)^c=a^bc

=2^{2\log _2\left(5\right)}

apply log rule----->\:a^{\log _a\left(b\right)}=b

=5^2=25

hope it helps :>