Question

pls help me fast

no pranks pls​

Answer 1

logₓ₊₁2x-1+log₂ₓ₋₁x+1=2

Let logₓ₊₁2x-1=k. Then, 1/logₓ₊₁2x-1= log₂ₓ₋₁x+1= 1/k.

Now,

k+1/k=2

k²+1=2k

k²-2k+1=0

(k-1)²=0

k=1

logₓ₊₁2x-1=1

x+1=2x-1

x=2