Find the x power + 1 of inverse function y = 10

Find the x power + 1 of inverse function y = 10

Y = 10 ^ x + 1, range {y | Y > 1}
y-1=10^x
lg(y-1)=x
Commutative variable sign, y = LG (x-1) (x > 1)
If there is any mistake, please correct it!