SOLUTION: How do you find a point of intersection on y=3e^2x-5 and y=2x^2+3x+7
And How do you use a natural logarithm to solve a exponential equation
4^-x=1/16
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Question 391831: How do you find a point of intersection on y=3e^2x-5 and y=2x^2+3x+7
And How do you use a natural logarithm to solve a exponential equation
4^-x=1/16
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do you find a point of intersection on y=3e^2x-5 and y=2x^2+3x+7
When x is in the exponent and also part of another equation, you have to use graphicap or iterative methods.
By graphing it: x =~ 3.8973
----------------------------
And How do you use a natural logarithm to solve a exponential equation
4^-x=1/16
-x*ln(4) = ln(1/16)
x = -ln(1/16)/ln(4)
x = 2
---------
The result is the same with common logs.
And, 16 = 4^2
1/16 = 4^-2
--> x = 2 without using logs.
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