Let g(x)=ln(x). The graph of the function f(x)=log(x)/log(8) can be obtained by...?

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Let g(x)=ln(x). The graph of the function f(x)=log(x)/log(8) can be obtained by...?

stretching the graph of g(x) vertically by a factor of?

2007-09-30 15:51:39 · 4 answers · asked by zack 1 in Science & Mathematics ➔ Mathematics

4 answers

g(x) = ln(x) = log(x)/log(e)

f(x) = log(x)/log(8) = g(x)*log(e)/log(8).

So the graph can be obtained by scaling all y values on the graph by the constant log(e)/log(8).

2007-09-30 15:58:24 · answer #1 · answered by Anonymous · 0⤊ 0⤋

Since 2.303 ln(x)= log(x), this should be your stretching factor for the NUMERATOR. Dividing that by log(8) = 0.906 will give you f(x) .

2007-09-30 15:58:28 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋

Better to listen to your teacher to get an answer.

2007-09-30 15:59:09 · answer #3 · answered by lostfire 2 · 0⤊ 0⤋

an equation. :D

2007-09-30 15:53:35 · answer #4 · answered by Anonymous · 0⤊ 0⤋