SOLUTION: Describe the transformations that take the graph of f(x)=log4 x to the graph of g(x) = log4 x^3 = log4 8. Justify your response algebraically. equation orientation(s): https://

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Describe the transformations that take the graph of f(x)=log4 x to the graph of g(x) = log4 x^3 = log4 8. Justify your response algebraically. equation orientation(s): https://      Log On


   

Question 1205557: Describe the transformations that take the graph of f(x)=log4 x to the graph of g(x) = log4 x^3 = log4 8. Justify your response algebraically.
equation orientation(s): https://gyazo.com/ca5a482b67d375dd99cc56c691859ed6, https://gyazo.com/58bc03d93004990125826bcbf7dfc7e5
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


g(x) = log4 x^3 = log4 8

That's not a graph; it is a single point. log4 8 = 3/2 or 1.5.

The link doesn't work, so we can't see what the actual problem is supposed to be.

Assuming that in fact g(x) is simply log4 x^3, the transformation is a vertical stretch by a factor of 3, because, by basic rules of logarithms,

log%284%2C%28x%5E3%29%29=3%2Alog%284%2C%28x%29%29.