Question

Can you find out the value of x in the following equation? (2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)

Answer 1

(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)
⇒2∧x.27000=8.27.64.12
⇒2∧x.27000=1728000
⇒2∧x=1728000/27000
⇒2∧x=64
⇒2∧x=2∧6
By comparing x on both the sides,we get as
x=6
hope u understood...
here(.)represents multiplication..(i.e.,x)

Answer 2

(2^x) (30³) = (2³) (3³) (4³) (5³)
(2^x) (30³) = (120³)
(2^x) = (120³)/ (30³)
(2^x) = (4³)
(2^x) = 64
(2^x) = (2⁶)
comparing the powers,
x = 6
Thus x = 6.       
 i hope it will help u..............................^_^