You can put this solution on YOUR website! 2log(x-1) = 2 + log100
note that log 100 = log (base 10) 100 and 10^2 = 100 so log 100 = 2
2log(x-1) = 2 + 2
2log(x-1) = 4
divide both sides of = by 2
log(x-1) = 2
note that log base is 10 and by definition of logarithm
x-1 = 10^2
x = 100 +1
x = 101