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If you cannot, take the common logarithm of both sides of the equation and then.
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Example 1: solve the equation 4 2 x − 1 = 64.
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How do you move exponents in exponential equations?
Next, in order to move the exponent down it has to be on the whole term inside the logarithm and that just won’t be the case with this equation in its present form. So, the first step is to move on of the terms to the other side of the equal sign, then we will take the logarithm of both sides using the natural logarithm.
Which is an example of solving an exponential equation?
Example 1 Solve each of the following. In this first part we have the same base on both exponentials so there really isn’t much to do other than to set the two exponents equal to each other and solve for x x. So, if we were to plug x = 1 2 x = 1 2 into the equation then we would get the same number on both sides of the equal sign.
Do you get the same number on both sides of exponential equation?
In this first part we have the same base on both exponentials so there really isn’t much to do other than to set the two exponents equal to each other and solve for x x. So, if we were to plug x = 1 2 x = 1 2 into the equation then we would get the same number on both sides of the equal sign.
When do the exponents have to be equal?
In other words, if the bases are the same, then the exponents must be equal. Solve the equation 4 2 x − 1 = 64 . Note that the bases are not the same. But we can rewrite 64 as a base of 4 . We know that, 4 3 = 64 . Rewrite 64 as 4 3 so each side has the same base.
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