Question

Find the value of x if 2 raise to 4 multiplied by 2 raise to 5 = (2 raise to 5) raise to x

Answer 1

Answer:

X= 1.8

Step-by-step explanation:

Question= 2⁴ x 2⁵ = (2⁵)^x

Law 1= a^m x a^n = a^m+n

Therefore, solving L.H.S= 2⁴ x 2⁵ = 2⁹

As 2⁹= (2⁵)^x

Law 2= a^m^n = a^m*n

Therefore, R.H.S= 9/5 = 1.8

Hence, if we verify (2⁵)^1.8

and multiply 5*1.8 we get 9

Therefore RHS=LHS