Category: Algebra

How to find the equation of graphs of functions

In your study of function, the usual activity you do is to graph the function given an equation. Here is a problem that involve finding the equation given the  graphs of functions – linear, quadratic, exponential, and reciprocal (rational) functions. Problem The figure below shows the graphs of common functions. The algebraic representation of the…

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Solving exponential equation using laws of logarithm

Problem Solve the exponential equation 4x + 4x + 1 = 40. Solution 4x + 4x + 1 = 40 => 2(4x) = 39 => 4x = 39/2 Using the laws of logarithm x log 4 = log 39 – log 2 x = (log 39 – log 2)/log 4 x = (1.59106 – 0.30103)/0.60206 x = 2.14206…

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