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When you have solved other algebraic equations, you often relied on the idea that you can change both sides of the equation in the same way and still get a true equation.This is true with logarithms, too: If x = y, then log Another kind of exponential equation has exponential expressions on both sides.
to solve equations using the change-of-base formula, or always by using the definition of logs, or any other particular method.
But I am suggesting that you should make sure that you're comfortable with the various methods, and that you shouldn't panic if you and a friend used I can't do anything with this equation yet, because I don't yet have it in the "log(of something) equals a number" form.
When the bases are the same, or the exponents are the same, you can just compare the parts that are different. Logarithmic equations may also involve inputs where the variable has a coefficient other than 1, or where the variable itself is squared.
In these cases, you need to complete a few more steps in solving for the variable. In this case, divide both sides by 3, then use the square root property to find the possible values for x.
Due to the nature of the mathematics on this site it is best views in landscape mode.
If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.Since log problems are typically simpler, I'll start with them.wiki How is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. Once you rewrite the logarithm into a more familiar form, you should be able to solve it as you would solve any standard exponential equation.If there is more than one base in the logarithms in the equation the solution process becomes much more difficult.Before we get into the solution process we will need to remember that we can only plug positive numbers into a logarithm.Don’t forget that when using the square root property, both positive and negative roots must be considered. There are several strategies that can be used to solve equations involving exponents and logarithms.Taking logarithms of both sides is helpful with exponential equations.Logarithmic word problems, in my experience, generally involve evaluating a given logarithmic equation at a given point, and solving for a given variable; they're pretty straightforward.On the other hand, exponential word problems tend to be much more involved, requiring, among other things, that the student first generate the exponential equation, and perhaps then also find the value of one of the variables before beginning to answer the actual question.This will be important down the road and so we can’t forget that.Now, let’s start off by looking at equations in which each term is a logarithm and all the bases on the logarithms are the same.