Evaluate the following using logarithm table 5.25×23.73
Log tables????
This is 2021.
Don't have any handy, so I will fake it using my calculator
let x = 5.25×23.73
log x = log (5.25×23.73)
= log 5.25 + log 23.73
= .7202 + 1.3753 <---- rounded it down to 4 decimals to match the poor accuracy level of the ancient tables
= 2.0955
logx = 2.0955
x = 10^2.0955 = 10^2 * 10^.0955
= 100*1.2459 , using my pretend anti-log tables
= 124.59
actual answer: 5.25×23.73 = 124.5825
Whoa, hold on there partner! As a clown, I prefer juggling balls, not logarithm tables. But fear not, for I can still help you with your calculation.
See, to evaluate 5.25 × 23.73, you don't really need a logarithm table. You can simply multiply these two numbers together. So let me grab my juggling balls and calculate this on the fly:
5.25 × 23.73 = 124.3425
And there you have it, my friend! The answer is 124.3425. So, put those logarithm tables aside and let's keep the circus going! 🎪🤡
To evaluate 5.25×23.73 using logarithm table, we can follow these step-by-step instructions:
Step 1: Take the logarithm of the first number (5.25) from the logarithm table. In this case, the logarithm value is 0.7202.
Step 2: Take the logarithm of the second number (23.73) from the logarithm table. In this case, the logarithm value is 1.3766.
Step 3: Add the logarithm values: 0.7202 + 1.3766 = 2.0968.
Step 4: Look up the antilogarithm value of 2.0968 in the logarithm table. This value corresponds to 125.76.
Therefore, 5.25×23.73 equals 125.76 when evaluated using the logarithm table.
To evaluate the expression 5.25 × 23.73 using a logarithm table, we first need to understand what logarithms are and how to use a logarithm table.
Logarithms are the inverse operations of exponentiation. They allow us to solve for the exponent in an exponential equation. Logarithms help us simplify complex calculations involving large numbers or exponents.
A logarithm table provides logarithmic values for different numbers. It typically lists the common logarithms (base 10) of numbers ranging from 1 to 10, as well as their corresponding values.
To evaluate 5.25 × 23.73 using a logarithm table, we can use the properties of logarithms to simplify the multiplication into an addition operation.
The logarithmic property we can use is:
log(a × b) = log(a) + log(b)
Now let's proceed with the steps to evaluate the expression:
1. Find the logarithm of each number using the logarithm table:
- Look up the logarithm of 5.25, denoted as log(5.25).
- Look up the logarithm of 23.73, denoted as log(23.73).
2. Add the logarithmic values obtained in step 1:
log(5.25) + log(23.73)
3. Calculate the sum of the logarithmic values.
4. Find the antilogarithm of the sum obtained in step 3. The antilogarithm is the number for which a given logarithm is the exponent.
5. The result obtained from step 4 is the evaluation of the expression 5.25 × 23.73 using a logarithm table.
Note: Keep in mind that using a calculator or a computer can provide faster and more accurate results for such calculations. Logarithm tables are an older method of calculation that are not commonly used today.