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.
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
Nicho priyatham
Last Activity: 9 Years ago
log function has many use
to multiply and divide numbers very easily which u do in physics labs
to evaulate limit of 1infinit type
to evulate integrals
ph scales etc
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