Question

Vă rog să ma ajutați la 113, 114. E URGENT.

Answer 1

113)
[tex]a=25^{log_{5}2} [/tex]
$x=27^{log_{3}2}$
$a=5^{2log_{5}2}$
$a=5^{log_{5}4}$
$a=4$
$x=3^{3log_{3}2}$
$x=3^{log_{3}2^{3}}$
$x=2^{3}=8$
$x=2*4=2*a$
$x=2*25^{log_{5}2}$

114)
$b=32^{log_{2}7}$
$y=49^{log_{7}16}$
$b=2^{5log_{2}7}$
$b=2^{log_{2}7^{5}}$
$b=7^{5}$
$y=7^{2log_{7}16}$
[tex]y=7^{log_{7}16^2} [/tex]
$y=16^{2}$
$7^5=16807$
[tex]16^2=256 [/tex]