Question

6^11n+6=1,296? show work

Answer 1

Is n an exponent?
6^(11n) or 6^11 * n ?

Answer 2

or 6^(11n + 6) which seems more likely.

Answer 3

\[\Large 6^{11n + 6} = 1296\]

Answer 4

Is the last one the correct representation?

Answer 5

yes @ranga

Answer 6

Okay. 1296 happens to be 6^4. So \[\Large 6^{11n + 6} = 1296 = 6^4\]
Since the base is the same on the left hand side and right hand side,
the exponents must be the same.
So 11n + 6 = 4
solve for n.

Answer 7

so whats the answer @ranga

Answer 8

I am not allowed to give out answers.
11n + 6 = 4
To solve for n, isolate n.
Subtract 6 from both sides.
Divide both sides by 11 to find n.

Answer 9

11=-2?

Answer 10

@ranga

Answer 11

11n = -2
divide both sides by 11

Answer 12

n=-2/11

Answer 13

Yes.