Solveeit Logo

Question

Question: How do you use a calculator to evaluate the expression \[\log 2.3\] to four decimals?...

How do you use a calculator to evaluate the expression log2.3\log 2.3 to four decimals?

Explanation

Solution

Hint : To evaluate the value of expression log2.3\log 2.3 by using a calculator, the calculator we are using must be a scientific calculator. There are a variety of scientific calculators in different brands and in different models. Therefore the usage of a calculator completely depends on the calculator we use. Here the calculator of the cello brand, CC-100MS model is used.

Complete step-by-step answer :
Turn on the calculator first. Then search for the log button and press it. Then enter the number 2.32.3. At last press the equal to sign to get the answer. Now we will get the answer on the display screen as 0.361727278360.36172727836. Now just truncate the values after four decimal points to meet our requirement.
Hence the value of log2.3=0.3617\log 2.3 = 0.3617.
The log value can also be found by using the logarithm table. In the logarithm table on the first column look for the row with 2323, on the next column take the value that corresponds to 00, the value is 0.36170.3617, therefore log2.3=0.3617\log 2.3 = 0.3617.
So, the correct answer is “ 0.3617”.

Note : Remember that the usage of a calculator completely depends on the model we use. So it becomes essential that one should know about the calculator they are using. The person should know how to operate the calculator and what functions are there and how to use it. The log button will appear in different formats in different calculator models to say some calculator may have the button named as “ln” instead of log, which also means the same logarithm.