Discover the quickest way to Rewrite Equation Log For Free

Aug 6th, 2022
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How to Rewrite Equation Log For Free

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now in this lesson were going to focus on converting logarithmic expressions into exponential equations so consider this logarithmic expression log base 3 of 9 is equal to 2. how can you convert it from logarithmic form to exponential form well here is the generic equation lets say if we have log base a of b is equal to c a raised to the c is equal to b so this is the equivalent expression in exponential form so likewise three raised to the second power is equal to nine so we can write it as three squared is equal to nine now its your turn convert the following logarithmic expression into its exponential form and you can try this one as well 4 raised to the third power is equal to 64. so thats how you can write it in exponential form eight raised to the second power is equal to 64. and so we can write it like this now what about the reverse lets say if we have an equation in exponential form convert it to logarithmic form try these three examples feel free to pause the video so t

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0:08 2:30 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 its kind of reallyMoreBut just say x equals e. No x equals. Four say a equals e. And then y equals x its kind of really confusing with the xs isnt. It. Lets do it another. Way. Notice how the x.
1:55 7:00 101 Write a Logarithmic Expression as a Single Logarithm (4.4) - YouTube YouTube Start of suggested clip End of suggested clip So when I write this as a single logarithm Im taking the log of 2 times XY cubed again the 3 becameMoreSo when I write this as a single logarithm Im taking the log of 2 times XY cubed again the 3 became the exponent.
1:08 4:48 Re-writing logarithmic equations in exponential form - YouTube YouTube Start of suggested clip End of suggested clip Form 2 to the well 2 times 2 is 4 times 2 is 8 times 2 is 16. So 2 to the fourth. Power is equal toMoreForm 2 to the well 2 times 2 is 4 times 2 is 8 times 2 is 16. So 2 to the fourth. Power is equal to 16 therefore. The log base 2 of 16 is equal to 4.
2:17 6:25 Simplify Logarithms - YouTube YouTube Start of suggested clip End of suggested clip Were going to want to rewrite. The big number as a base 3 with an exponent. So log base 3 how do weMoreWere going to want to rewrite. The big number as a base 3 with an exponent. So log base 3 how do we rewrite 9 with a base of 3 well 9 is the same thing as 3 squared. Now we have the same bases.
0:48 3:20 Rewriting Logs in Exponential Form - YouTube YouTube Start of suggested clip End of suggested clip Example this is log base b of x equals n. So the inverse of taking the log base b is to exponentiateMoreExample this is log base b of x equals n. So the inverse of taking the log base b is to exponentiate both sides using base B.
1:23 3:11 Writing Multiple Logarithms as a Single Logarithm - YouTube YouTube Start of suggested clip End of suggested clip Its the same thing as log base 5 of 8. Times X. And thats my answer for that one thats simplifiedMoreIts the same thing as log base 5 of 8. Times X. And thats my answer for that one thats simplified to a single log logarithm.
0:08 2:30 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 its kind of reallyMoreBut just say x equals e. No x equals. Four say a equals e. And then y equals x its kind of really confusing with the xs isnt. It. Lets do it another. Way. Notice how the x.
0:11 2:01 Rewriting an Expression as a Single Log - YouTube YouTube Start of suggested clip End of suggested clip So right here this needs to become log were going to put that x that as an exponent log of 2 cubedMoreSo right here this needs to become log were going to put that x that as an exponent log of 2 cubed the exponent is going to go up front so we have log. Of x squared.
0:11 8:15 Rewriting Logarithmic Expressions 070-49 - YouTube YouTube Start of suggested clip End of suggested clip Times the log base B of A. And of course if Ive got something like this n times the log base B of AMoreTimes the log base B of A. And of course if Ive got something like this n times the log base B of A. I can go in the other direction and rewrite that as the log base B of A to the N.
9:24 25:26 Solving Logarithmic Equations - YouTube YouTube Start of suggested clip End of suggested clip We need to use this equation to combine the two logs into a single log. So if log base 2 of x plusMoreWe need to use this equation to combine the two logs into a single log. So if log base 2 of x plus log base 2 of x plus 4 is equal to 5 then log base 2 of x times x plus 4.

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