Question

Find x if log
2^(x+1)-3 = 2 + log 2^(x_1) .
I WILL MARK YOU AS BRAINILEST​

Answer 1

Answer:x =x= log25

Step-by-step explanation:  Since the terms are in AP

So , 2*log(2x - 1) = log2 + log(2x + 3)

 

log(2x - 1)2 = log(2(2x + 3))

 

Let 2x = t

 

So , (t-1)2 = 2(t+3)

t2 + 1 - 2t = 2t + 6

t2 - 4t - 5 = 0

(t -5)(t + 1) = 0

t = 5 , -1

But -1 is not as 2x cannot be -1 for any value of x

So 2x  = 5