What is the base of the common logarithm equation y = log x?

Question

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2 points
0
1
10
e
What is the base of the natural logarithm equation y = ln x?
*
2 points
0
1
10
e
What is the vertical asymptote for the function y = log x?
*
2 points
x-axis
y-axis
no vertical asymptote
Which graph of the following functions will increase the fastest as x approaches infinity?
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2 points
log x
ln x

Answer 1

1. The base of the common logarithm equation \( y = \log x \) is 10.

2. The base of the natural logarithm equation \( y = \ln x \) is e (approximately 2.718).

3. The vertical asymptote for the function \( y = \log x \) is the y-axis (x = 0).

4. As \( x \) approaches infinity, the graph of \( \ln x \) will increase faster than \( \log x \); thus, \( \ln x \) is the correct answer.