![]() Compress both sides of the equation into one log. Log without a written base has a base of 10. Solve the following problem: ½ log (X to the fourth power) minus log (2x minus 1) equals log (x squared) plus log (2). X equals negative 2 gives us a few negative numbers inside the parenthesis, and a log of zero and negative numbers in the equation make negative 2 the wrong answer. Place the answers back in the first logarithmic equation to verify their validity.įor x equals 5, Log 3 (5) plus Log 3 (5-2) equals Log 3 (5 plus 10) Now check the answers to see if they are correct. X equals 5 and X equals negative 2 are the answers we may use. X plus 2 equals zero means that x equals negative 2. X minus 5 equals zero means that x equals 5. Now turn each factor to zero and solve x. Move all information to one side and make the opposite side contain a zero value. Now use the factoring method to finish the quadratic equation. Get rid of the logs and set the arguments inside the parenthesis to match each other. Then you get Log 3 (x squared minus 2x) equals Log 3 (x plus 10) Now condense (x) (x-2) = x squared minus 2x. ![]() X will have a power of two, so you’ll need to solve a quadratic equation. You need one log expression on both sides of the equation. Log 3 (x) plus Log 3 (x -2) equals Log 3 (x plus 10)Ĭondense the log arguments on the left side into one logarithm with the Product Rule. The x-intercept is also the point on the graph that shows the variable x as zero. In y equals mx plus b, b is the y-intercept, the slope is m, and the variable m is multiplied on the variable x.Īn x-intercept appears at the spot where the graph crosses the x-axis. When you look at the equation of a straight line (such as y equals mx plus b) the y-intercept is the location where the line goes through the vertical y-axis. You can also refer to the graph of a function as the graph of an equation. The graph of a function represents all points in f(x). The variable F represents the graph of a function. Most variables, however, are solved with a single value. Linear equations may have many values that can be used in place of the variable. A number multiplied by itself twice can be referred to as 4 to the second power or four squared.Ī variable is a symbol for an unknown number. ![]() The small raised number 2 shows that the larger number is multiplied by itself twice. The small number shows how many times the larger number is multiplied by itself. Here are a few of them, with some brief information about the function of each one.Īn exponent is a small raised number next to a larger numeral in an equation. You will work with many components to solve logarithmic equations.
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