100=1.5(1.1^n - 1)/1.1-1

Question

Could you be so nice please and help me find the solution. The answer is 22 but I have whole time different number. I use log on both sides :

100=1.5(1.1^n - 1)/1.1-1
10 = 1.5(1.1^n - 1)
10 = 1.65^n - 0.5)
log 10.5 = n log 1.65
n = 0.21321

Thank you so much for huge help:)))