Question

Solve for x :
2^(2x) - 2^(x+3) = - 2⁴​

Answer 1

Answer:

x= -1

Step-by-step explanation:

2^2x = 2^x+3 - 2^4

(applying log on both sides)

2x*log2 = x+3*log2 - 4* log 2

(loga - logb = log(a/b)

2x*log2 = log(2^X+3)/2^4

(A^B / B^C = A^B-C)

2X*LOG2 = LOG2^x-1

2x*log2 = x-1 * log2

(dividing both sides by log2)

2x = x-1

X = -1