Question

How do you solve the equation 1,296^(2n)=216^(n+10)

Answer 1

\[1,296^{2n}=216^{n+10}\]
\[(6^4)^{2n} = (6^3)^{n+10}\]
\[6^{8n} = (6^{3n+30})\]
Since both sides have the same base, you can rewrite it as
\[8n = {3n+30}\]
Can you solve it from here?

Answer 2

no

Answer 3

Do you understand the above steps?

Answer 4

Yes i just get stuck on the last step

Answer 5

Alright, -3n from both sides, what would you get?

Answer 6

5 ?

Answer 7

Not really
8n - 3n = 3n+30 -3n
What would you get?

Answer 8

Im confused again

Answer 9

It's like solving a normal equation. Find the value of n...

Answer 10

8n - 3n = 3n+30 -3n
5n = 30
Divide both sides by 5, what would you get?