SOLUTION: Which of the following cannot be a base for exponential and logarithmic functions?
0.1
π
1
e
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Question 148216: Which of the following cannot be a base for exponential and logarithmic functions?
0.1
π
1
e
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1 cannot be a base because raised to any power, it's still 1.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The previous solution is correct, but there's more to this solution. Let's say that you could have a base of 1. So this means that can be written as by use of the property ===>
Now using the change of base formula, we can rewrite as . However, which means that becomes . Since you cannot divide by zero, this means that a base of 1 is not possible for a logarithmic function.
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