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Aug 6th, 2022
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0:25 5:03 Sum of logarithms with same base | Algebra II | Khan Academy - YouTube YouTube Start of suggested clip End of suggested clip This is equal to the logarithm base b of a plus the logarithm base b of c.MoreThis is equal to the logarithm base b of a plus the logarithm base b of c.
0:39 3:20 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.
To write the sum or difference of logarithms as a single logarithm, you will need to learn a few rules. The rules are ln AB = ln A + ln B. This is the addition rule. The multiplication rule of logarithm states that ln A/b = ln A - ln B.
0:31 11:13 rewriting as a sum or difference of logs - YouTube YouTube Start of suggested clip End of suggested clip So when I write 5x the understood operation is 5 times. X. So we just write it as ln. 5 plus ln x.MoreSo when I write 5x the understood operation is 5 times. X. So we just write it as ln. 5 plus ln x. And thats it weve written it as a sum of two logs of the same base.
0:31 11:13 rewriting as a sum or difference of logs - YouTube YouTube Start of suggested clip End of suggested clip So when I write 5x the understood operation is 5 times. X. So we just write it as ln. 5 plus ln x.MoreSo when I write 5x the understood operation is 5 times. X. So we just write it as ln. 5 plus ln x. And thats it weve written it as a sum of two logs of the same base.
To write the sum or difference of logarithms as a single logarithm, you will need to learn a few rules. The rules are ln AB = ln A + ln B. This is the addition rule. The multiplication rule of logarithm states that ln A/b = ln A - ln B.
4:41 5:37 Expand to the sum or difference of logs - YouTube YouTube Start of suggested clip End of suggested clip So log base 3 of 9 what do I raise 3 to to get 9 that becomes a 2 were then going to add we moveMoreSo log base 3 of 9 what do I raise 3 to to get 9 that becomes a 2 were then going to add we move the power to the front for log base 3 of M power to the front minus 1/3 log base 3 of n.
0:25 1:41 The power goes over here so the power is 5. So this number goes there so thats log base 6 of 7776MoreThe power goes over here so the power is 5. So this number goes there so thats log base 6 of 7776 equals 5 lets try another one. So we have 5 to the third equals 125.
For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100. This is an example of a base-ten logarithm. log2 8 = 3. because. 23 = 8. In general, you write log followed by the base number as a subscript. log. log a = r. ln. ln a = r.
0:17 7:30 Expressing Log functions as a sum or a difference - YouTube YouTube Start of suggested clip End of suggested clip And were adding those two logs. Okay.MoreAnd were adding those two logs. Okay.

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