SOLUTION: 1. Why does the graph of the basic exponential function (y = bx, where b>0, and b not 1) lie entirely above the x-axis? 2. Explain the difference between natural logarithms a

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Why does the graph of the basic exponential function (y = bx, where b>0, and b not 1) lie entirely above the x-axis? 2. Explain the difference between natural logarithms a      Log On


   



Question 91831: 1. Why does the graph of the basic exponential function
(y = bx, where b>0, and b not 1) lie entirely above the x-axis?
2. Explain the difference between natural logarithms and common logarithms.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
1. Why does the graph of the basic exponential function
y+=+b%5Ex, where b>0, and b not 1) lie entirely above the x-axis?
y is positive above the x-axis
y+=+2%5Ex suggest b = 2
Now, plug some variables:
x = -1 . y = 1/2
x = 0 . y = 1
x = 1 . y = 2
y always remains positive and greater than zero
2. Explain the difference between natural logarithms and common logarithms.
Natural logs: log%28e%2Cx%29 base of e
Common logs: log%2810%2Cx%29 base of 10