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 TOPICS This page:   logarithms    Search   Dr. Math See also the Internet Library:   logarithms HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry Browse High School Logarithms Stars indicate particularly interesting answers or good places to begin browsing Logarithmic Scales [01/16/2002] Why might empirical scientific data be transformed to logarithmic data and presented on a logarithmic scale? Logarithms [12/2/1995] What is a logarithm? Logarithms: History and Use [7/12/1996] How do I explain why logarithms work to non-math-oriented people? Also, what is the history of the development of the concept of logarithm? Why is it called a "logarithm"? Logarithms' Relation to Exponents [09/29/2001] I understand what logs are, and their relation to Euler's constant, but I don't understand why they are what they are. Logarithms with Unknown Bases [12/12/2001] Provided only that, in some bases, log 2 = 0.607 and log 3 = 0.959, find a good value for log 5. Significant Non-Zero Digits [11/27/2001] How many significant digits are there in a number with no non-zero digits? Example: 00.000 Are there any? Alternative Formulas for Growth and Decay [08/02/2002] I have two formulas for growth and decay: q = q_0*e^(rt), and q = q_0*a^t. What is the difference between them? Another Logarithm Problem [10/2/1995] A math class asks how to convert between bases in logarithms. Anti-Logarithms [02/27/2001] Could you please explain the concept of anti-logarithms? Antilogs [08/22/2001] If log sub(a)10 = 0.250, then log sub(10)a equals ? The solution requires me to the take the base(a) antilogarithm of both sides. That would be 10 = a^0.250. Why is this the final answer? Applications of Logarithms [04/15/1998] How can I calculate the logarithm function on a number without a calculator? What are some of the uses of the logarithm function? Are Properties of Logarithms Missing Something? [11/17/2005] To solve the equation ln x^2 = -7, I can use two methods, each supported by properties of logarithms. But with one method I get two answers and with the other method I only get one answer. Is there an inconsistency in the properties of logarithms? Base of Common Logarithms [05/23/2000] Why is the base of common logarithms 10? Is it easier to work with, or is there a mathematical explanation? Biology Logarithms [04/01/1999] The Ph of an acidic pond is 5. What is the hydrogen ion concentration in moles per liter? Briggs Logarithms [09/06/2001] Why did Briggs raise 2 to the tenth power? Why did he extract the square root of 1.024 instead of 1024? Why did he extract the square root of 1.024 forty seven times?... Briggs on Logarithms [08/28/2001] I want to know how Briggs constructed logarithmic tables of common logarithms. Calculating Any Root [10/13/1997] I need to find an algorithm to determine any root of a number. I was told I could determine the estimated value by using Newton's Method... Characteristic and Mantissa of a Common Logarithm [04/24/2003] How do you find the characteristic and mantissa of a negative logarithm? Coal Consumption [01/13/1997] How long will coal reserves last if consumption increase at the rate of 3.1 percent per year? Common Logarithims and Natural Logarithims [03/13/2005] I am currently studying logarithims and I see that logarithms can take the form of ln or log. What is the difference between the two? Comparing Very Large Numbers--Which Is Bigger? [12/01/2004] How do you decide which large number is greater? For instance, how do you know whether 9!^(9!^9) is greater than 10^(10!^10)? Complex Exponentiation [02/20/2015] A teen struggles to evaluate expressions with complex numbers in their exponents. Using De Moivre's Theorem and polar coordinates, Doctors Ali and Peterson break down the method. Composite Functions Using Logarithms [3/10/1996] Suppose f and g are functions defined by f(x) = x+2 and g(x) = x. Find all x > -2 for which: 3^[g(x)*logbase3 f(x)] = f(x). Converting a Base 2 Log [01/31/2002] 2147483647 is one less than what power of 2? Converting Logs to Another Base [04/27/1998] How can I use the logarithm function in base e to find a logarithm in base 10 or a logarithm in base n? Converting mW to dB [06/14/2001] I found this equation during a radio receiver discussion: 4x10-12mW = - 114dBm. How does it equate? Decimal Exponents [03/19/1999] Find x^y, where y is a decimal, without using a calculator. Definition of Logarithm [04/16/2001] In the definition of logarithm, a^x = b iff x = log_a(b) where a and b are greater than 0 and a is not equal to 1, why the stipulations? Are there any problems or contradictions that arise if they are not given? Derivative of an Exponential Function [04/23/2007] How can I find the derivative of an exponential function like y = 4^x? Deriving the Change of Base Formula for Logarithms [04/13/2007] I'm studying logs and have learned the change of base formula that says log_a(x) = log_b(x) / log_b(a). I know how to use the formula, but I don't understand why it works. Can you show me? The Difference Between Log and Natural Log [2/8/1995] What is the difference between log and natural log? Division and Subtraction: Logarithm and ...? [05/30/2014] An adult seeks insights into a proof that the logarithm satisfies f(x) - f(y) = f(x/y) for all positive x and y — and whether other functions might work, too. Doctor Vogler uses a substitution to reframe the problem before building up a proof by induction and outlining the consequences of relaxing continuity. Does Repetitive Division Correspond to a Logarithm? [05/26/2008] I know that logs and exponents are inverse functions. If an exponential function correlates to repeated multiplication, does a logarithmic function correlate to repeated division? e^pi Greater Than pi^e [03/29/2003] How can I show that e^pi is greater than pi^e without using a calculator? Equation of Straight Line on the Log-Log Scale [03/06/2006] I have a given graph of a straight line on a log-log axis system and need to find the equation of that line. How do I do it? Equations with Logarithms [04/18/1997] Find those values of 'm' for which this equation has three different solutions: x^3 - (3/2)x^2 + 5/2 = log (base 1/4) (m). Erlang B [10/22/2002] I need to know how to calculate the addition of numbers using logarithms: 1 + 2 + 3. There is a step that requires adding numbers that exceed Excel's limits. How can I use logs to add the numbers? Error in One of the Laws of Logarithms? [05/02/2002] We were discussing a problem in precalculus today and seemed to discover a basic flaw in one of the exponent laws. Estimating Logarithms without Using a Calculator [07/28/2005] How can I find log_4 (12) without a calculator? Etymology of 'Logarithm' [03/19/1999] How does the term 'logarithm' relate to the terms 'exponent' and 'knots', and to nautical logbooks? Page:  1  2  3 [next>]

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