I am having trouble figuring out how to enter problems to find logarithmic functions

It is not possible to take the logarithm of a negative number because the logarithm function is defined only for positive real numbers. If you are trying to take the logarithm of a negative number, you will encounter a "domain error" because the input is outside the domain of the function.
To fix this error, you will need to make sure that the input to the logarithm function is a positive real number. One way to do this is to add a condition to your code to check whether the input is positive before taking the logarithm. For example:

if x > 0:
y = log(x)
else:
print("Error: Cannot take log of non-positive number")

Alternatively, you can use the logarithm function from a library that supports complex numbers, such as the cmath library in Python, which import cmath
x = -1
y = cmath.log(x)
print(y) # Output: (-3.141592653589793j)
allows you to take the logarithm of negative numbers by using the complex logarithm function log(). For example:

Keep in mind that the complex logarithm function returns a complex number, so you may need to handle the result differently than you would with a real logarithm.

"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.

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.

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.

The 30XIIS does not have the capability of solving equations. It can, however, calculate expressions using logarithms. Use the LOG key for common logarithms and the LN key for natural logarithms. In both cases, press the function key, enter the value or expression, and then ) to match the ( the function automatically enters.

The LOG and LN keys are the second and third keys from the top in the leftmost column of the keyboard.

The logarithmic functions have inverse functions that happen to have specific names. Even if the log^-1 notation may found on textbooks you will not find it on claculators.

Natural Logarithms LN. The inverse function of the natural logarithm is the EXPONENTIAL noted e to the x or e^x. On calculators the two functions usually share the same physical key. For example, LN is accessed directly and e^x is accessed with

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.

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.

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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Hello,
If you want to do correct mathematics you should strive to use the right words to express the concepts, and the right symbols too. While the logarithm function has an inverse function, it is never called an inverse log and it is never represented as log^-1. (I know you are going to protest and claim that the inverse of a sine function is represented on calculators by sin^-1. This a manufacturer shortcut, and we have no power to change that.) HP uses ASIN, ACOS, ATAN. These are still manufacturer shortcuts but they induce fewer errors.
Anyway, the logarithm functions do have inverse functions.

1. Natural loogarithm (ln)

The inverse of the natural log is the exponential.
ln(e^(x))=e^(ln(x)) =x

2. Common logarithm (logarithm in base 10)
The common logarithm has an inverse function, often called the antilogarithm or antilog.

There is an equivalence.
y=log(x) <--> x=10^(y)

From what I undesrtand of your exemple, you are looking for the antilog of the number -0.4/10 (or -0.04.)

-0.04= log(x), what is x?
You use the equivalence above to look for x as follows.
x=10^(-0.04) =0.9120108394.
Use the change sign (-) not the regular MINUS sign.

Take the log of the last result (still stored in Ans memory) and you get the original number.


Hope it helps.