Add side in LOG smoothly

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Aug 6th, 2022
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How to Add side in LOG

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in this lesson were going to focus on solving basic logarithmic equations lets start with this one log base 2 of 16 is equal to x go ahead and find the value of x what we need to do is convert it to exponential form 2 raised to the x is equal to 16. now you might already see the answer but im going to go ahead and solve it now we know that 2 to the 4th power is 16. so therefore x is equal to four you can also do this log of 16 divided by log of two if you type that in thats equal to four which is x using the change of base formula try this one log of x log base x of 81 is equal to four what is x so lets convert it to its exponential form x to the fourth is 81. so now lets find the value of x to do that we need to take the fourth root of both sides so the fourth root of 81 is equal to 3 because three to the fourth is eighty-one now what about this one log base five of x is equal to three convert it to its exponential form five to the third is equal to x thats five times five tim

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We use the following step by step procedure: Step 1: bring all the logs on the same side of the equation and everything else on the other side. Step 3: Exponentiate to cancel the log (run the hook). Step 4: Solve for x. Step 5: Check your answer. Step 1: Take logs of both sides using one of the given bases.
So when you take the log of both sides of an equation, you must contain the entire side of the equation inside the logarithm argument.
Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y). They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).
0:51 3:59 Taking Log on both sides to solve - YouTube YouTube Start of suggested clip End of suggested clip I. Can then use my log property to take that exponent right there and move it in front x. Times theMoreI. Can then use my log property to take that exponent right there and move it in front x. Times the log of 9 equals the log of 26. Then I can divide both sides by the log of 9.
​Logs on One Side. To solve a logarithmic equation with a logarithm on one side, you first need to get the logarithm by itself (well do an example so you see what we mean). Next, identify the base of the logarithm in the equation and use the same base to rewrite it in exponential form.
Explanation: In order to eliminate the log based ten, we will need to raise both sides as the exponents using the base of ten. The ten and log based ten will cancel, leaving just the power on the left side.
1:52 3:59 Okay so I start by taking the log of both sides here. I then move my exponents to the front as aMoreOkay so I start by taking the log of both sides here. I then move my exponents to the front as a coefficient. My exponents are to the front used to be an exponent and other coefficient.

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