I'm going to use n instead of t
rⁿ=6.25rⁿ+2
minus rⁿ both sides
0=5.25rⁿ+2
minus 2 both sides
-2=5.25rⁿ
divide both sides by 5.25
-2/5.25=rⁿ
take the nth root of both sides
![\sqrt[n]{\frac{-2}{5.25}}= \sqrt[n]{r^n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7B-2%7D%7B5.25%7D%7D%3D%20%5Csqrt%5Bn%5D%7Br%5En%7D)
![\sqrt[n]{\frac{-2}{5.25}}= r](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7B-2%7D%7B5.25%7D%7D%3D%20r)
rⁿ=6.25rⁿ+2
minus rⁿ both sides
0=5.25rⁿ+2
minus 2 both sides
-2=5.25rⁿ
divide both sides by 5.25
-2/5.25=rⁿ
take the nth root of both sides