SOLUTION: Problem: y=log 4 (x) +4, the number 4 in the equation is lower than the word log, I just don't know how to type it. Evaluate the logarithmic equation for three values of x that

Algebra ->  Graphs -> SOLUTION: Problem: y=log 4 (x) +4, the number 4 in the equation is lower than the word log, I just don't know how to type it. Evaluate the logarithmic equation for three values of x that      Log On


   



Question 232439: Problem: y=log 4 (x) +4, the number 4 in the equation is lower than the word log, I just don't know how to type it.
Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 an 1, and at x=1. Show all the work and write each step you do so I can do my other problems please and use this as an example. Use the resulting ordered pairs to plot a graph. State the equation of the line asymptotic to the graph (if any).
I need major instruction here...I am completely lost.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
y=log 4 (x) +4

Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 an 1, and at x=1. Show all the work and write each step you do so I can do my other problems please and use this as an example. Use the resulting ordered pairs to plot a graph.
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y+=+log%284%2Cx%29+%2B+4
The log base 4 of x = log%2810%2Cx%29%2Flog%2810%2C4%29
By changing the base, you can use a calculator.
y+=+log%28x%29%2Flog%284%29+%2B+4
Pick the values for x and solve for y to generate the points.
x....y
1...4
2...4.5
4...5
That's 3 points, (1,4), (2,4.5), (4,5) x>=1
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Between 0 and 1 (0 can't be used):
x.......y
1/2.....3.5
1/4.....3
1/16....2
There are 3 less than 1.
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I don't think there is an asymptote.