Question

How do you solve
216^x-1=6

Answer 1

`216^(x-1)=6\\ ln(216^(x-1))=ln(6)\\ (x-1)ln(216)=ln(6)\\ xln(216)-ln(216)=ln(6)\\ xln(216)=ln(6)+ln(216)\\ x= (ln(6)+ln(216))/(ln(216)) \approx 1,333`

Answer 2

`216^(x-1)=6 \\ (6^3)^(x-1)=6 \\ 6^(3(x-1))=6 \\ 6^(3x-3)=6^1 \\ 3x-3=1 \\ 3x=4 \\ x=(4)/(3)`