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- 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
- 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
- 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
- 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?