Question

help,please!

Answer 1

\[2^n=\sqrt{3^{n-2}}\]

Answer 2

take ln of both sidez

Answer 3

nln2=(1/2n-1)ln3

Answer 4

n=(-ln3/(ln2-1/2ln3)

Answer 5

square both sides
2^(2n)=3^(n-2)
natural log of both sides
ln(2^(2n))=ln(3^(n-2))
take the power down
(2n)ln(2)=(n-2)(ln(3)

Answer 6

(2n)ln(2)-n(ln(3)=-2ln(3)
n(2ln(2)-ln(3))=-2ln(3)
n(ln(4)-ln(3))=2ln(3)
n(ln(4/3))=2ln(3)
n=(2ln(3))/(ln(4/3))

Answer 7

I can do any farther from her:\[(n)\log(2)=(\frac{n-2}{2})\log(3)\]

Answer 8

yeah thats right

Answer 9

\[(2n)\log(2)=(n)\log(3)-(2)\log(3)\]

Answer 10

then combine the ones with variable n