Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)
Answer Details
To evaluate this expression using logarithm tables, we can use the following steps:
1. Take the logarithm (base 10) of each of the numbers in the expression.
2. Add the logarithms of the two factors in the numerator.
3. Subtract the logarithm of the denominator from the result in step 2.
4. Take the antilogarithm (base 10) of the result in step 3.
Using these steps, we get:
log(5.34) = 0.727
log(67.4) = 1.829
log(2.7) = 0.431
log(5.34 x 67.4) = log(5.34) + log(67.4) = 0.727 + 1.829 = 2.556
log(5.34 x 67.4) - log(2.7) = 2.556 - 0.431 = 2.125
antilog(2.125) = 133.2
Therefore, the value of the expression is 133.2.
The answer is option C.