SOLUTION: How do I complete this problem? For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled. How do I calculate and plot these?

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Question 149866: How do I complete this problem? For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled.
How do I calculate and plot these?
1. ex and e2x
2 logx and log2x
Correct reasoning of the effect of doubling the value of x in logarithmic and exponential functions
This is one tough question. Thanks so much.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I think the 1st part is e%5Ex and e%5E%282x%29
Note that 2x+=+x+%2B+x
e%5E%28x+%2B+x%29+=+%28e%5Ex%29+%2A+%28e%5Ex%29
or
e%5E%282x%29+=+%28e%5Ex%29%5E2
You can check this with simple numbers
2%5E3 and 2%5E%282%2A3%29
2%5E%282%2A3%29+=+2%5E%283+%2B+3%29
2%5E%283+%2B+3%29+=+%282%5E3%29%2A%282%5E3%29 is this true?
2%5E6+=+8%2A8
64+=+64
OK
log%28x%29 and log%282x%29
The general rule is log%28a%2Ab%29+=+log%28a%29+%2B+log%28b%29
Again, you can check this with numbers
log%28100%2A10000%29+=+log%28100%29+%2B+log%2810000%29
log%28100%2A10000%29+=+log%281000000%29
log%281000000%29+=+6
log%28100%29+%2B+log%2810000%29+=+2+%2B+4
6+=+2+%2B+4 this is true
so,
log%282x%29+=+log%282%29+%2B+log%28x%29
log%282x%29+=+.301+%2B+log%28x%29