Indices, SMB-009 Find `x` given `100^(x-2) = 1000^x`. (2 marks) Show Answers Only `-4` Show Worked Solution `100^(x-2)` `= 1000^x` `(10^2)^(x-2)` `= (10^3)^x` `10^(2x-4)` `= (10)^(3x)` `2x-4` `=3x` `:. x` `= -4`