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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Solving Exponential Equations

Example

If the graph of f(x) = bx passes through , find f(2).

Solution

 First, we must find the base, b. Since the graph passes through we know that when x = -3. y = bx Replace y with and x with -3. = b -3 Write as . = b -3 Rewrite = b -3 Since the exponents are the same, the bases are equal. = b So, the base, b, of the exponential function is . f(x) Now, we must find f(2). Substitute 2 for x. f(2) Simplify.

So, .

Note:

Here's another way to find b: