Question

please solve this problem quickly

Answer 1

X cannot be zero as then the equation wouldn't be defined.
Hence I am assuming that the question asks for the X intercept of the graph instead of the Y intercept.
To find X intercept, put Y = 0
Y = 2×log ((X - 1)^0.5 -2)
0 = 2×log ((X - 1) 0.5 - 2)
log (X - 1)^0.5 - 2) = 0
(X - 1) ^0.5 - 2 = 1
(X - 1)^0.5 = 3
X - 1 = 9
X = 10