Evaluate using logarithm table 7.143×821.5÷0.0014

1 answer

To evaluate 7.143×821.5÷0.0014 using logarithm table, we can take the logarithm of each number involved and then perform the necessary calculations.

Let's begin by taking the logarithm of each number:
log(7.143) = 0.854
log(821.5) = 2.914
log(0.0014) = -2.853

Next, we can rewrite the expression in terms of logarithms:
log(7.143×821.5÷0.0014) = log(7.143) + log(821.5) - log(0.0014)

Substituting the logarithm values, we get:
log(7.143×821.5÷0.0014) = 0.854 + 2.914 - (-2.853)

Simplifying, we have:
log(7.143×821.5÷0.0014) = 0.854 + 2.914 + 2.853
log(7.143×821.5÷0.0014) = 6.621

Finally, we can find the antilogarithm of 6.621 to obtain the answer:
antilog(6.621) = 7688.366

Therefore, 7.143×821.5÷0.0014 is approximately equal to 7688.366.