# Logarithm base 2

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The Casio FX-300MS does not provide base 2 logarithms as a single key operation. However, you can use the natural logarithm (ln, base e = 2.7182818...) and the formula

log2 ( x ) = ln( x ) / ln( 2 )

To calculate the base 2 logarithm of 16, key in
[ln] 16 [/] [ln] 2 [=]
and get displayed the correct answer 4.

The same simple formula also works for any other base, and actually for any other logarithms provided by your calculator. The FX-300MS also provides a logarithm to base 10 (lg). You could also
type
[lg] 16 [/] [lg] 2 [=] to get the solution to the problem above, or
[lg] 25 [/] [lg] 5 [=] to get the base 5 logarithm of 25.

Posted on Mar 20, 2014

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Posted on Jan 02, 2017

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## Related Questions:

### Change base log

The TI 86 has two logarithmic functions: natural logarithm (ln) and common (decimal) logarithms (log). If you need the logarithm in any other base than e or 10 you need to use one of the two equivalent expressions
log_b(x) =ln(x)/ln(b) =log(x)/log(b)
Here b is the value of the base of the logarithm and x is the argument (the value whose logarithm you are seeking). Of course the argument x must be a positive number.
Note: On the TI 86 the log function can calculate the logarithm of a complex number, according to the manual.

Sep 22, 2013 | Texas Instruments TI-86 Calculator

### TI-84 Calculator Gives Me the Wrong Logarithm Solution

"log(2)8" means "common logarithm of 2 multiplied by 8".

The TI-84 has three different logarithm functions.
log is the common (base-10) logarithm.
ln is the natural (base-e) logarithm.
logBASE lets you take the logarithm to any positive base.

If you want the log base 2 of 8, you want logBASE(2,8). You'll find the logBASE function in the catalog, accessible by pressing 2ND [CATALOG] ). CATALOG is the shifted function of the 0 key, the ) gets you to the Ls in the catalog.

Sep 30, 2012 | Texas Instruments TI-84 Plus Calculator

By 'log inverse', you presumably mean the inverse of the logarithm function. There are two logarithm functions on most scientific calculators. Firstly [ln], or natural logarithms, to the base e, where the inverse is e^x. Secondly [log], or logarithms to the base 10, where the inverse is 10^x.

Example 1 : ln(2) = 0.69314718 so e^0.69314718 = 2
Example 2: log(2) = 0.301029995 so 10^0.30102995 = 2

Oct 02, 2011 | Casio FX-115ES Scientific Calculator

### How do i find the exponential root using the TI-30Xa calculator?

Using logarithms. For example, if A ^ X = 2; then X = logA(2);
This calculator only works in base-10 logarithms or natural logarithms, you should use the base conversion formula.
logA(X) = logC(X) / logC(A).
Good luck!

May 02, 2011 | Texas Instruments TI-30XA Calculator

### Where can I find the log values in TI 89

For natural logarithms, you can use the ln function (2ND shift of the X key). For example, the natural logarithm of 3 is 2ND [LN] 3 ) ENTER.

For logarithms to other bases, use the log function (diamond shift of the 7 key). For example, the base-2 logarithm of 16 is diamond 7 1 6 , 2 ) ENTER. If the base is 10 (common logarithms), you can omit the comma and the second argument.

Mar 09, 2011 | Texas Instruments TI-89 Calculator

### How do I find logarithms on the ti89?

For natural logarithms, you can use the ln function (2ND shift of the X key). For example, the natural logarithm of 3 is 2ND [LN] 3 ) ENTER.

For logarithms to other bases, use the log function (diamond shift of the 7 key). For example, the base-2 logarithm of 16 is diamond 7 1 6 , 2 ) ENTER. If the base is 10 (common logarithms), you can omit the comma and the second argument.

Apr 28, 2010 | Texas Instruments TI-89 Calculator

### How do I enter a logarithmic function like log base 2 of 64 to equal the answer 6? Thanks!

You can calculate the logarithm to any base by using the relationship

logb(x) = log(x) / log(b) = ln(x) / ln(b)

Thus, if you calculate log(64) / log(2), you will get 6, and the same with the natural logarithm.

Mar 12, 2010 | Texas Instruments TI-85 Calculator

### Using the correct key combination to determine inverse log

Hi,
Sorry to contradict you but there are many types of logarithms, the most important ones are
2. the natural logarithms (logarithms in base e)
3. the binary logarithms (logarithms in base 2)
On calculators, the common logarithms are labeled [LOG], and the natural logarithms are labeled [LN].

The inverse function of the natural log function is the exponential (e^(x)), and the inverse of the log in base ten function is the function ten to the power of. It is called (sometimes) the antilog

Ex:
Question What is the antilog of 3.5678?
Answer The antilog of 3.5678 is 10^(3.5678) = 3696.579068
Verification: log(3696.57908) =3.5678

Hope it helps.

Nov 29, 2009 | Texas Instruments TI-30XA Calculator

### How do you change the base on the log function so you can do for example log with the base of 2 instead of base 10

Hi,
Your calculator cannot compute directly the logarithms in an arbitrary base, but you have the means to obtain that indirectly.
You can use either of the conversion formulas shown on the screen capture (on the right). On screen capture ln stands for natural logarithm.

If you want binary logarithms (logs in base 2) you use the relation
log_2 (x) =ln(x)/ln(2)
or
log_2(x)=log(x)/log(2)

Use whichever formula is shorter to key in (without pressing the 2nd key).

Hope it helps.

Nov 16, 2009 | Texas Instruments TI-86 Calculator

### Random based logarithms

to do logarithms with other bases, use change-of-base. let's say you want to do log base 5 of 25. for clarity i'll write this as log(5) 25. you would have to do log(10) 25 / log(10) 5 to get 2. key sequence: [LOG], 2, 5, ), / (divide), [LOG], 5, )

Apr 03, 2009 | Texas Instruments TI-83 Plus Calculator

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