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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]

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]


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]

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]

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?


Composite Functions Using Logarithms [3/10/1996]

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]

Decimal Exponents [03/19/1999]

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]

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?

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?



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]

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]

Evaluating Large Numbers [06/11/1998]

Exponents as Variables [11/20/2001]

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