Can you find out the value of x in the following equation?

Question

(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)(30^3)=((2*3*4*5)^3)
(2^x)=((2*3*4*5)^3) / (30^3)
(2^x)=((2*3*4*5/30)^3)
(2^x)=(4^3)
(2^x)=((2^2)^3)
(2^x)=(2^6)
which implies x=6.

Answer 2

the value of x = 6.

Answer 3

(2^x)(30^3)=(2^3)(4^3)(5^3)(3^3)
(2^x)((2x3x5)^3)=(2^3)(4^3)(5^3)(3^3)
(2^x)((2x3x5)^3)=(2^3)(((2)^2)^3)(5^3)(3^3)
(2^x)(2^3)(3^3)(5^3)=(2^9)(5^3)(3^3)
(2^3x)(3^3)(5^3)=(2^9)(5^3)(3^3)

equating,
3x=9
x=3

Comments

(2^x)(2^3)=2^(x+3) not 2^(3x)