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Log Rules and Formulas | Logarithmic Equations, Special Case Rules PDF  Privatejobshub

 Wednesday, September 27, 2017

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Log Formulas As we all know that, Subtraction is the opposite of addition process, and division is the inverse phenomenon of multiplication, same as logarithms are the opposite phenomena of exponential. So, to solve out any Logarithmic Equations, you just need to know about All Log Formulas. Because, Formulas Of Log is used to simplify expressions or to solve for values. Therefore, check this article completely, in order to download All Log Formulas Pdf, Special Case Rules for Log Question, Log Derivative / Integration Formulas and some basic Log Rules and Formulas Let’s Start With An Example … If we take the base x=3 and raise it to the power of y=2, we have the expression 32. The result is some number, we'll call it z, defined by 32=x. here, we can use the rules of exponentiation to calculate that the result is z=32=9

What is Logarithm? If ‘x’ is a positive real number, other than 1 and xm = a, then we write: m = logxa and we say that the value of log a to the base x is m. For Examples: (i). 103 1000 = log10 1000 = 3 (ii). 34 = 81= log3 81 = 4 (iii). (.1)2 = .01= log(.1) .01 = 2

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What is Properties of Logarithms? The base 10 in Logarithms are known as common logarithms and the properties for Logarithmic Equations as listed below: Sr. No. 1 2 3 4 5 6 7

Basic Log Formulas loga (xy) = loga x + loga y loga (x/y) = loga x – loga y Logx x = 1 loga 1= 0 loga (X n) = n (loga x) loga X = 1/ logx a loga x = logb x / logb a = log x / log a

Read This Article: How to Prepare for Maths Exam

What is Mantissa and Characteristic?  The internal part of the logarithm of a number is called its characteristic  The decimal part of the logarithm of a number is known is its mantissa. For mantissa, check below provided log table.

For Example: Number 654.24 26.649 8.3547 0.6453 0.06134 0.00123

Characteristic 2 1 0 1 2 3

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Some Special Case Rules: Rule or special case Product Quotient Power of power Power of a product Power of one Power of zero Power of negative one Change sign of exponents Fractional exponents

Formula xa xb = xa+b xa / xb = xa-b (xa )b = xab (xy)a = xa ya x1 = x x0 = 1 x−1 = 1/x x−a = 1/xa xm/n= n√xm=(n√x)m

What is the Integration Formulas Log X ?

Download from Here: Log Formulas PDF

Some Solved Question 1. Which of the following statements is not correct? A. log10 10 = 1 B. log (2 + 3) = log (2 x 3) C. log10 1 = 0 D. log (1 + 2 + 3) = log 1 + log 2 + log 3 Answer: B 2. If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is: A. 2.870 B. 2.967 C. 3.876 D. 3.912

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Answer: C 3. If log 27 = 1.431, then the value of log 9 is: A. 0.934 B. 0.945 C. 0.954 D. 0.958 Answer: C 4. If log10 2 = 0.3010, the value of log10 80 is: A. B. C. D.

1.6020 1.9030 3.9030 None of these

Answer: B 5. If log 2 = 0.30103, the number of digits in 264 is: A. 18 B. 19 C. 20 D. 21 Answer: C 6. If log10 2 = 0.3010, the value of log10 80 is: A. 3.9030 B. 1.6020 C. 1.9030 D. None of these Answer: C 7. If log 32 x= 0.8, then x is equal to A. 16 B. 25.6 C. 10 D. 12.8 Answer: A 8. If log 27 = 1.431, then the value of log 9 is: A. 0.945 B. 0.958 C. 0.934 D. 0.954 Answer: D 9. Evaluate :log3 27 A. 5 B. 4 C. 6 D. 3 Answer: D 10. If log 2 = 0.30103, Find the number of digits in 256 is A. 19 B. 17 C. 25 D. 23 Answer: B Read out other Maths Formulas: Ratio And Proportion Word Problems Percentage Formula and Shortcuts Average Formula, Shortcut Tricks

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Above provided Log Formulas List is helpful for you to solve Logarithmic Equations. So, memorize these Log Formulas to score well in competitive examination and Maths exams. Subscribe our free e-mail section of www.privatejobshub.in, to receive details directly into your mailbox. If you find any problem in above listed Log Rules and Formulas, then you can tell us by leaving the comment here. We’ll solve these problems as soon as possible. Thank you for visiting us…

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