Question

if 3 power 6 x ÷ 3 power 2 x = 5 root 3 power 20 find x​

Answer 1

Answer:

Given,

3 power 6 x/3 power 2 x=5 root 3 power 20,then x=?

3 power 6 x=729x,

3 power 2 x=9x,

5 root 3 power 20=5 root 3 power 4*5

=3 power 4.because 5 and 5 root gets cancel,so left 3 power4

729x/9x=81

729x/9x=81/1

now cross multiplitation

729x*1=81*9x

729x=729x

x=1.