If 82x-4= 42x, then x=
A)2
B)3
C)4
D)6

Question

Quizplus · Accepted Answer

First change the base 8 and the base 4 to the same base 2. 8 = 2³ and 4 = 2² Hence the equation can be written as (2³)^2x-4 = (2²)^2x 2^6x-12= 2^4x 6x-12 = 4x 2x = 12 or x =6 Key takeaway: When solving problems involving exponents, base is to be seen carefully. It is easy to simplify, as long as they have the same base. Remember following simple formulae: a^m x aⁿ = a^m+n, a^m / aⁿ = a ^m-n , (a^m ) ⁿ = a ^{m x n} , (a^m )^1/n = a^{m/ n}

If 82x-4= 42x, Then X=