Grade 10Magical Mathematics[Interesting Approach]

what is the use of logarithm

rajchandan

11 Years agoGrade 10

3 Answers

grenade

Approved Tutor Answer11 Years ago

For example, the base 10 logarithm of 100 is 2, indicating that 10 raised to the 2nd power is 100. Given this definition, we can immediately see how logarithms are useful -- if we need to calculate an unknown exponent, the answer will involve a logarithm.

grenade

11 Years ago

Some common uses of logarithms include

Logarithmic scales
Sometimes you only care about how big a number is relative to other numbers. The Richter, decibel, and pH scales are good examples. An earthquake with magnitude 8 on the Richter scale is 10 times more powerful than one of magnitude 7.
Calculus
The logarithm has some useful properties that make it very common in calculus. For example, the derivative of the natural logarithm of x is 1/x.
Arithmetic
Before calculators became common, many arithmetic problems were solved using logarithms. For example, we can exploit the fact that log(x*y) = log(x) + log(y) to multiply two large numbers x and y. Look up the logarithms of x and y in a table, add them, and then use the same table to find the number whose logarithm is closest to the sum.

plz aprve