Solve the equation 63x63x36 The solution set is Simplify y

Solve the equation 6^3x-6^3x=36 The solution set is { } (Simplify your answer. Use a comma to separate answers as needed)

Solution

given equation :6^3x *6^3x=36

Applying exponent rule:

we can write as :

=>6^3x+3x=36 => 6^6x=6^2

from the above expression ,we can compare the power of expression

the we get :

=> 6x=2 so, x=2/6 =1/3

hence final value of x will be 1/3.