SOLUTION: How do I find the x and y coordinates of y=logx and y=log(0.5x)? so far I know that (1,0) is the x-intercept of y=logx and (2,0) is the x-intercept of y=log(0.5x).

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I find the x and y coordinates of y=logx and y=log(0.5x)? so far I know that (1,0) is the x-intercept of y=logx and (2,0) is the x-intercept of y=log(0.5x).      Log On


   

Question 205421: How do I find the x and y coordinates of y=logx and y=log(0.5x)? so far I know that (1,0) is the x-intercept of y=logx and (2,0) is the x-intercept of
y=log(0.5x).
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the x - and y-intercepts of:
y+=+log%28%28x%29%29 Rewrite this in exponential form:
10%5Ey+=+x Now the x-intercept occurs at y = 0, so substitute y = 0:
10%5E0+=+x ...and, as you know, anything the zero power is 1, so...
1+=+x so you get (1, 0)
Now for:
y+=+log%28%280.5x%29%29 Rewrite in exponential form:
10%5Ey+=+%280.5x%29 Set y = 0:
10%5E0+=+0.5x or...
1+=+0.5x Divide both sides by 0.5
2+=+x so you get (2, 0)