Question

How do you calculate $\log 50$ with a calculator?

Answer 1

A calculator is a small electrical device that can be carried anywhere easily; it makes mathematical calculations very easy as it performs big mathematical operations in seconds.
Different calculators work in different ways, for finding the value of $\log 50$ , in some calculators, we first write 50 and then press the log button (this is generally for older models) while in some we first press the log button and then write 50 [these are direct algebraic logic (D.A.L.)]. This way we can find out the correct answer.

Complete step by step answer:
For calculating the value of $\log 50$ using a calculator, we follow the following steps –
1. We turn on the calculator
2. We press the button on which $\log$ is written. You will fund this button somewhere on
the top or in the middle.
3. Then the display of the calculator will show $\log ()\,or\log ($
4. If it displays $\log ()$ , then insert the value 50 within the brackets, and if it shows $\log ($
then we insert the value 50 and then close the bracket, we will get $\log (50)$ on the
display.
5. Now, press the button having $=$ symbol printed on it.
6. Now, you will get the answer 1.69897 on the display screen of the calculator.
Hence, the answer of $\log 50$ is $1.69897$ .

Note: The value of $\log 50$ can be calculated without using a calculator as follows –
$\log 50$ can be written as $\log 50 = \log 25 \times 2$
We know that $\log mn = \log m + \log n$ , so we get –
$\log 50 = \log 25 + \log 2 \\\ \Rightarrow \log 50 = \log {(5)^2} + \log 2 \\\$
We also know that $\log {m^n} = n\log m$ , so –
$\log 50 = 2\log 5 + \log 2$
Putting the value of $\log 5 = 0.698970004$ and $\log 2 = 0.301029996$
We get –
$\log 50 = 2 \times 0.698970004 + 0.301029996 \\\ \Rightarrow \log 50 = 1.69897001 \\\$