-Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent?

My answer:

Let b=2, m=8, n=16

*log base b (mn)=log base b of m + log base b of n
log base 2 of 8+ log base 2 of 16=7

* (log base b of m) (log base b of n)=(log base 2 of 8)(log base 2 of 16)=3•4=12

Hence, they are not equivalent because 7 DOES NOT EQUAL TO 12.

How can you do the subscript on a keyboard?

Addition/subtraction of logs means product/division of numbers, while product of logs means power of numbers.Log m to the base b x Log n to the base b=log m^n.

On keyboard,select the character
to be subscripted, press Cntrl+=.
Or else select the character, go to Fonts Menu-Fonts-Effects-Subscript-OK.

To type a subscript on a keyboard, you can use a combination of different methods, depending on the software or application you are using. Here are a few commonly used methods:

1. Using Unicode or ASCII codes:
- Hold down the Alt key (Windows) or the Option key (Mac).
- While holding down the key, type the Unicode or ASCII code for the subscript character. For example, the Unicode code for subscript 2 is ₂ (U+2082).
- Release the key to insert the subscript character.

2. Using superscript and formatting options:
- Type the desired text or number that you want to convert into subscript.
- Select the text.
- Look for formatting options in your application or software. For example, in Microsoft Word, you can find "Font" options in the "Home" tab.
- In the formatting options, look for subscript settings or superscript settings, depending on how your application handles it. Select the subscript option to convert the selected text into subscript.

3. Copying and pasting:
- If you are unable to find a way to directly input subscript characters, you can often find them online and copy and paste them into your text. Search for "subscript generator" or "Unicode subscript characters" to find websites that provide these characters. Copy the desired subscript character and paste it into your text.

Note that the availability of subscript options in different applications may vary, so it's always a good idea to consult the specific software's documentation or help resources for more accurate and application-specific instructions.