Algebra 2 Help: Need to Find Value of 'a' for Exponential Function

In summary, the conversation involves someone seeking help with algebra 2 and an exponential function problem. The goal is to find the value of "a" in the equation y=a(2)^x, given that the graph passes through the point (3,4). The solution involves substituting the values of x and y, and solving for "a" by ensuring equality between the two expressions on either side of the equal sign. The expert also offers further assistance if needed.
  • #1
racheluckhardt
1
0
algebra 2 help...need it desperately

Nikola Tesla said:
What law or physics principle is that? Thanks for the help.

does anyone know algebra 2, i need to know how to complete this equation...
an expotential function of the form y=a(2)^x passes through the point (3,4). Find the value of a. choices a)2 b)1/2 c)3 d)3/4
 
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  • #2
racheluckhardt said:
does anyone know algebra 2, i need to know how to complete this equation...
an expotential function of the form y=a(2)^x passes through the point (3,4). Find the value of a. choices a)2 b)1/2 c)3 d)3/4

Substitute the values in for x and y and solve for a.
 
  • #3
Hi, rachel:
Saying that the graph passes through (3,4), means that the following equation holds:
[tex]4=a*2^{3}[/tex]
1) Do you see why this equation must hold if the graph is to go through (3,4)?
2) How can this equation help you solve for "a"?
3) Welcome to PF!
 
  • #4
An important concept here is the equality between the two expressions in this equation. The expressions on each side of the equal sign must hold the same value, unless you get into other situations (however this one does have a solution). In this example, y is equal to a(2)^x, which is 4=a(2)^3. The object is finding the value for "a" that will make that expression equal to 4.

Ask if you need more help!
 

Related to Algebra 2 Help: Need to Find Value of 'a' for Exponential Function

1. What is an exponential function?

An exponential function is a type of mathematical function where the independent variable, or input, is in the exponent. It is written in the form f(x) = a^x, where a is the base and x is the exponent.

2. How can I find the value of 'a' in an exponential function?

In order to find the value of 'a', you will need to have at least two points on the graph of the exponential function. You can then set up a system of equations using the coordinates of these points and solve for 'a'.

3. Can I use logarithms to find the value of 'a'?

Yes, you can use logarithms to find the value of 'a' in an exponential function. By taking the logarithm of both sides of the equation, you can isolate 'a' and solve for it.

4. What is the significance of the value of 'a' in an exponential function?

The value of 'a' in an exponential function determines the rate of change of the function. A larger value of 'a' results in a steeper and faster-growing curve, while a smaller value of 'a' results in a flatter and slower-growing curve.

5. Are there any real-life applications of exponential functions?

Yes, there are many real-life applications of exponential functions. They can be used to model population growth, compound interest, and radioactive decay, among others.

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