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0:12 3:04 Solve a Log Equation with Two Logs Equal to Each Other - YouTube YouTube Start of suggested clip End of suggested clip And they're both base. Four it follows that six x. Must equal the quantity four x. Plus five toMoreAnd they're both base. Four it follows that six x. Must equal the quantity four x. Plus five to solve this equation for x we must first have the x terms on one side of the equation.

0:51 3:59 Taking Log on both sides to solve - YouTube YouTube Start of suggested clip End of suggested clip And result with this. I. Can then use my log property to take that exponent right there and move itMoreAnd result with this. I. 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.

Use the power property of logarithms to simplify the logarithm on the left side of the equation. Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself. Use a calculator to evaluate the logarithms and the quotient.

The rule when you divide two values with the same base is to subtract the exponents. Therefore, the rule for division is to subtract the logarithms. The log of a quotient is the difference of the logs.

1:11 3:11 TI Calculator Tutorial: Logarithms - YouTube YouTube Start of suggested clip End of suggested clip So let's put that into our calculator. So we have log 81 divided by log of 3 and hit enter now weMoreSo let's put that into our calculator. So we have log 81 divided by log of 3 and hit enter now we could see that that gives us a result of 4. Now let's take a look at one more example.

1:46 9:16 Log (xy) and Log (x/y) - YouTube YouTube Start of suggested clip End of suggested clip Form. So we want to go from here to there so write it in expanded. Form. We don't want to have anyMoreForm. So we want to go from here to there so write it in expanded. Form. We don't want to have any term being multiplied by the next. So we see here 7 times r times t.

Division: Log (A/B) = Log (A) − Log (B) The Log of two numbers divided together can be solved by taking the Log of each number and subtracting the Log of the denominator from the log of the numerator.

Division. The rule when you divide two values with the same base is to subtract the exponents. Therefore, the rule for division is to subtract the logarithms. The log of a quotient is the difference of the logs.

1:48 3:32 Splitting a logarithmic expression into several simpler logarithms - YouTube YouTube Start of suggested clip End of suggested clip Plus 5 log X plus 3 log wine. Okay pause the video. See. If you can do this next problem on your ownMorePlus 5 log X plus 3 log wine. Okay pause the video. See. If you can do this next problem on your own log of a B to the 7th. See to the negative.