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)
Answer:
- horizontally compressed by a factor of 2 and translated upward by 3 units.
Step-by-step explanation:
A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.
Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.
The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.
The degree measure is about 59° and the length of the ladder is 10√34 in or about 59.3in