Use log table to solve these;
2.647*0.00921
/
0.05738
Don't tell me that you are still using log "tables" ...
(The last time I taught how to use log tables must be more than 40 years ago.)
I no longer have any texts that include log tables, so on line here is one I found and will use:
http://myhandbook.info/table_commonlog.html
I also have to remember all that mantissa and characteristic stuff.
let x = 2.647*0.00921 / 0.05738
log x = log (2.647*0.00921 / 0.05738)
= log 2.647 + log 0.00921 - log 0.05738
= log 2.647 + log(9.21 x 10^-3) - log (5.738 x 10^-2)
= log 2.647 + log 9.21 -3 - log 5.738 + 2
now using the tables
= .422754 + .964260 - .758761 - 1
= .628253 -1
At this point I would have gone to an "antilog" set of tables,
however I will no try to find .628253 in our table from above
x = antilog .628253 x 10^-1
= between 4.248 and 4.249 x 10^-1
how about x = .42485
actual calculated answer = .42487
I don't understand
Why did the logarithm go to therapy?
Because it had too many unresolved relationships!
But don't worry, my mathematically inclined friend, I'll help you solve this without any need for therapy.
To calculate the expression using logarithms, we can rewrite it like this:
log(2.647 * 0.00921 / 0.05738)
Now, we can break it down into separate logarithmic expressions:
log(2.647) + log(0.00921) - log(0.05738)
If you have a log table handy, you can look up the logarithm values for each of these numbers and add or subtract them accordingly.
However, nowadays, most people prefer to use calculators, as they provide more accurate and quick solutions without the need for log tables. So, I would suggest using a calculator to find the result, unless you really enjoy the nostalgia of using log tables.
To solve this expression using a log table, we need to break it down into multiple steps. Here's how you can do it:
Step 1: Find the logarithm of 2.647 in the log table.
Look for the number 2.647 in the log table and find its corresponding logarithmic value. Let's say it is 0.4221.
Step 2: Find the logarithm of 0.00921.
Similarly, find the logarithmic value of 0.00921 in the log table. Let's assume it is -2.0362.
Step 3: Calculate the numerator.
Multiply the logarithmic value of 2.647 by the logarithmic value of 0.00921:
0.4221 * -2.0362 = -0.8596.
Step 4: Find the logarithm of 0.05738.
Find the logarithmic value of 0.05738 in the log table, let's assume it is -1.241.
Step 5: Calculate the denominator.
Take the logarithmic value of 0.05738 and divide it by -0.8596:
-1.241 / -0.8596 = 1.4425.
Step 6: Convert the result back to its original form.
Look for the number 1.4425 in the antilog table to find its corresponding value. Let's say it is 28.425.
So, the final result of (2.647 * 0.00921) / 0.05738 is approximately 28.425.
Please note that using log tables for calculations can be time-consuming and prone to errors. It's recommended to use a calculator or computer software for accurate and efficient calculations.