Question 159166This question is from textbook Elementary and Intermediate Algebra: A Combined Approach
: (a) What is the difference between log x and ln x and how are they related?
(b) Describe the graph of an increasing exponential function and the graph of a decreasing exponential function.
(c) Describe the graph of a function and its inverse.
This question is from textbook Elementary and Intermediate Algebra: A Combined Approach
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! (a) What is the difference between log x and ln x and how are they related?
log x is the exponent of 10 that gives you a certain number, like 10^2 = 100
so log 100 = 2
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ln x is the exponent of e= 2.18281828459... which gives you a certain number,
like e^2 = 7.389056..., so ln 7.389056 = 2
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(b) Describe the graph of an increasing exponential function and the graph of a decreasing exponential function.
increasing: as x increases, y increases
decreasing: as x increases, y decreases
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(c) Describe the graph of a function and its inverse
If (x,y) is a point of the function, (y,x) is a point of the inverse.
The graphs are symmetric to the line y = x.
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Cheers,
Stan H.
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