Revise numbers log easily

Aug 6th, 2022
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How to revise numbers 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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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.
We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e^y.
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.
You can convert the log values to normal values by raising 10 to the power the log values (you want to convert). For instance if you have 0.30103 as the log value and want to get the normal value, you will have: 10^0.30103 and the result will be the normal value.
The representation of the natural log of 4 is ln(4). The value of loge 4 is equal to 1.386.
We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e^y.
Any exponential equation of the form ab=c can be written in logarithmic form using loga(c)=b. For example, the exponential equation 23=8 is written as log2(8)=3 in logarithmic form. The number after the equals sign in logarithmic form is the power that the base of the log is raised to to make the number inside the log.
The change of base formula also works with the natural logarithm, ln. To change the base of a logarithm to a natural logarithm, use the formula: loga(b)=ln(b)/ln(a).
Using the logarithm table, Calculate the characteristic, which is determined by the whole number part of the given number. Calculate the mantissa, which is determined by the docHub digits of the given number. Finally, combine the characteristic and mantissa with a decimal point.
Answer and Explanation: The inverse of log10 (x), denoted log(x), is 10x. In general, we have the following rule regarding the inverse function of a logarithmic function. If f(x) = logb (x), then f-1 (x) = bx.

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