Question about Texas Instruments TI-83 Plus Calculator

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How do i calculate the log to a specific Base?

Using the LOG key returns the log to a 10 base, and the LN key returns to the log to the natural log base of 2.71828, but i want to know the log to a base thai will specify.

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If you have the latest version of the firmware (2.53) you can use the logBASE function available in the CATALOG. If you don't have the latest firmware, you can get it from http://education.ti.com

Regardless of the firmware version, you can always compute the logarithm to any base by using the relationship

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

Posted on May 02, 2010

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  • kakima May 02, 2010

    With the current firmware, logBASE is also available in the MATH menu. logBASE takes two arguments, the base and the number whose log you want.

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I need to figure out how to get the calculator to do..
log^-1 in my book it states that I can us ethe LN key, but that's not working.

Posted on Jun 01, 2010

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Related Questions:

1 Answer

Change base log


The 30XIIS only calculates logs to base e (natural log, ln) and base 10 (common log, log). However logs to any base can be calculated indirectly.
To calculate log base b of x, calculate either log(x)/log(b) or ln(x)/ln(b).

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2 Answers

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

1 Answer

How to get ans log of bases other then 10


You can calculate the log to any base B by dividing the base-10 log by the log-base-10 of the base B. You can also calculate it by dividing the natural log by the natural log of B.

For example, to calculate the base-3 log of 10, calculate
log(10) / log(3)
or
ln(10) / ln(3)

Jul 20, 2011 | Casio FX-65 Calculator

1 Answer

How do you find the log of 9.01 using TI 30xA calculator?


To calculate the common (base 10) log of 9.01, press 9 . 0 1 LOG =
To calculate the natural (base 3) log of 9.01, press 9 . 0 1 LN =

Both the LOG and LN keys are on the top row of the keyboard.

May 09, 2011 | Texas Instruments TI-30XA Calculator

1 Answer

TI BA 2 Plus Calculator: Cannot figure out how to use log(10) function, not the natural log but the base of 10 log


The BA II+ does not have a key for the common logarithm function. You can calculate the common log of a number by calculating its natural log and then dividing by the natural log of 10.

log10(x) = ln(x)/ln(10)

The same procedure works for logarithms to any base.

Dec 14, 2010 | Texas Instruments BA II PLUS Financial...

1 Answer

How do I find the "Log" key on the TI BA 2 Plus? Not natural log, but to the base of 10


There is no common logarithm key. You can compute the common (base 10) log of any number by using the relationship log(x) = ln(x) / ln(10).

For example, to compute the log of 2, type 2 LN / 1 0 LN =

Dec 14, 2010 | Texas Instruments BA II PLUS Financial...

2 Answers

How do i do log base x problems (other than log base 10) on the datexx ds 883?


Calculate it the same way as on most other calculators, using the relation

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

In words, calculate the log base 10 of x divided by the log base 10 of the base. You can also use the natural log function instead of the common (base 10) log--just be consistent.

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3 Answers

How to calculate 0.3log(base 2)0.3 using fx-991ms calc


Your calculator knows only the decimal logarithms log or log_10 and the natural logarithms (ln or log in base e).
So you cannot compute directly the logarithms in any bases other than 10 and e.
A workaround consists in using the relation
log in base b of a number a (log_b (a))
log_b(a)= (log_10(a) ) / (log_10 (b))
or the relation
log_b(a)= ln(a)/ln(b)

log_2(0.3)=log(0.3)/log(2) where log is log in base 10
Similarly
log_2(0.3)=ln(0.3)/ln(2)
As to the multiplicative factor you had at the beginning of your expression, just multiply the value obtained by one on the formulas above (both formulas will give the same result) by 0.3


Jul 18, 2010 | Casio FX-115ES Scientific Calculator

1 Answer

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
  1. the common logarithms (log in base 10),
  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

2 Answers

How to use the Logerithmic function on this calculator


Hi,

Logarithms in base 10 :Common logarithms
  1. The calculator has a key labeled [LOG]. It allows you to calculate the common logarithms (logarithms in base 10).
  2. To calculate the common logarithm of a (positive) number you type in the number, press the [LOG] key .
  3. Ex: 15.32 [LOG][=] gives 1.1852558765
Logarithms in base e : Natural logarithms
  1. The calculator has a key labeled [LN]. It allows you to calculate the natural logarithms of positive numbers.
  2. Ex: natural log of 15.32 is entered as
  3. 15.32 [LN] gives 2.729159164
Hope it helps.
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