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Aug 6th, 2022
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How to Finish number in LOG

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in this lesson were going to focus on evaluating logs so what is log base 2 of 16 what is that equal to 2 raised to the what power is 16. how many twos do you have to multiply to get to 16 2 times 2 times 2 times 2 4 times 16 so therefore 2 to the fourth is 16. so log base 2 of 16 is equal to four so now that you know that what is log base 3 of 27 how many threes do you need to multiply to get to 27 you need to multiply 3 3 times it gets 27 3 times 3 times 3 is 27 so log base 3 of 27 is 3. now what about log base 5 of 25 how many fives do you have to multiply to get to 25 you need to multiply two fives five squared is 25. now what about log base four of one log of one is always equal to zero what about log base seven of seven to the first power is seven so if these numbers are the same they will cancel its simply one now what is log of a thousand what should you do if youre not given a base if there is no base its always assumed to be a ten so how many tens do you have to multiply

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Hence, the logarithm of 0.001 to the base 10 is equal to -3.
The representation of the natural log of 4 is ln(4). The value of loge 4 is equal to 1.386.
Hence, we can write log 1 as log10 1. As we know, any number raised to the power 0 is equal to 1. Thus, 10 raised to the power 0 makes the above expression true. This will be a condition for all the base value of log, where the base raised to the power 0 will give the answer as 1.
To rid an equation of logarithms, raise both sides to the same exponent as the base of the logarithms. In equations with mixed terms, collect all the logarithms on one side and simplify first.
0:00 1:41 Writing in logarithmic and exponential form | Algebra II | Khan Academy YouTube Start of suggested clip End of suggested clip Form we could say that the power the power that i need to raise 10 to to get to 100 is equal to 2 orMoreForm we could say that the power the power that i need to raise 10 to to get to 100 is equal to 2 or log log base 10 log base 10 of 100 is equal to 2.
logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.
The log base 2 can be written as log2N=k l o g 2 N = k , which can be further written in exponential form as 2k = N.
When theres no base on the log, it means that youre dealing with the common logarithm, which always has a base of 10. For any logarithm, there are two rules we always have to follow for the values associated with the log.

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