Question

MEDAL
Solving Exponential equations - Algebra 2
6^2*(1/216)^-3n=1/216

Answer 1

Did you learn log or ln yet?

Answer 2

yes

Answer 3

Ah okay

Answer 4

First, you would simplify the problem even further so:
36 * (1/216)^(-3n) = 1/216

Answer 5

ok from there, you divide both sides by 36:
(1/216)^(-3n) = 1/7776

Answer 6

and I think here, you can change all the numbers to the base of 6

Answer 7

So, \[(\frac{ 1 }{ 6^{3} })^{-3n}= \frac{ 1 }{ 6 }^{5}\]

Answer 8

so according to exponential rules
that would give:
(1/6)^(-3n+3)=(1/6)^5

Answer 9

i was suppose to solve for n

Answer 10

In this case, I don't even think you need to use log
because you can just say

Answer 11

Yeah, Im getting there, sorry if I'm too slow

Answer 12

so

Answer 13

its okay

Answer 14

You simplify to -3n+3=5

Answer 15

And if you solve for n there, you can get the answer :)

Answer 16

thank you!!

Answer 17

No problem