Question

Solve for n...? medal will be rewarded!

Answer 1

\[3^{5n}=3^{5}(3^{2n})^2\]

Answer 2

Remeber you logarithm rules?

Answer 3

\[x ^{a}=a \times lnx\]

Answer 4

i've never learned that :/

Answer 5

Hmmm... Well, you're learning it now. This is typically the way you solve for variables in the exponent position

Answer 6

So, first simplify this equation.

Answer 7

Do you know how to do that?

Answer 8

well the best simplification i got was this\[3^{5}=2187^{4n^2}\]

Answer 9

I think you made a mistake there

Answer 10

\[3^{5n}=3^{5}(3^{4n})\]

Answer 11

\[\frac{ 3^{5n} }{ 3^5 }=3^{4n}\]

Answer 12

Do you see what's going on?

Answer 13

then i get \[3^{n}=3^{4n}\]