Question

the value of 2 power log 15 base root 2​

Answer 1

Answer:

$2^{log_{\sqrt2}15}=225$

Step-by-step explanation:

The value of 2 power log 15 base root 2​

$2^{log_{\sqrt2}15}$

$=(\sqrt2\:\sqrt2)^{log_{\sqrt2}15}$

using

$\boxed{(ab)^n=a^n\:b^n}$

$={\sqrt2}^{log_{\sqrt2}15}\times\:{\sqrt2}^{log_{\sqrt2}15}$

using

$\boxed{a^{log_aN}=N}$

$=15\times\:15$

$=225$