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How do you solve 216^x-1=6

How do you solve 216^x-1=6
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1 vote
How do you solve
216^x-1=6

asked
User Greenhoorn
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2 Answers

3 votes

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
answered
User Andrei Roba
by
8.3k points
2 votes

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)
answered
User Jonathan Carroll
by
8.7k points
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