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To multiply and divide numbers using logarithms, first express the number as logarithm and then apply the addition and subtraction laws of indices to the logarithms. Add the logarithm when multiplying and subtract when dividing.

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.

Converting an exponential equation to logarithmic - YouTube YouTube Start of suggested clip End of suggested clip But just say x equals e. No x equals. Four say a equals e. And then y equals x it's kind of reallyMoreBut just say x equals e. No x equals. Four say a equals e. And then y equals x it's kind of really confusing with the x's isn't. It. Let's do it another. Way. Notice how the x.

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.

Solving Logarithmic Equations With Different Bases - YouTube YouTube Start of suggested clip End of suggested clip I can write it as log 27 divided by log 9. Now what base do i want to use do i want to use 2 4 8 3 7MoreI can write it as log 27 divided by log 9. Now what base do i want to use do i want to use 2 4 8 3 7 out of all the numbers to pick what number should i use.

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay.

Rearranging logarithmic equations into exponential equations - YouTube YouTube Start of suggested clip End of suggested clip Says log base 4 of 1 is equal to 0. If I want to want to write that using exponential. Form for isMoreSays log base 4 of 1 is equal to 0. If I want to want to write that using exponential. Form for is my base. The answer to a logarithm is an exponent. So 0 is going to be my exponent.