Register

How do you solve 216^x-1=6

How do you solve 216^x-1=6
127k views
1 vote
How do you solve
216^x-1=6

User Greenhoorn
by
7.9k points

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
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)
User Jonathan Carroll
by
8.7k points
← Prev Question Next Question →

No related questions found

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories

Other Questions

How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Link Copied!