You will learn logs and natural logs mainly to use with slides rules,
since functions of logs help to solve these advanced equations very
easily.
In general algebra, if you see an equation 4x = 16, then you need
to do a bit of guesswork to solve for that unknown x. This is very
easy, if you understand your exponents well enough, you may easily
calculate that x = 2.
Unluckily, this guesswork is not a type of Math and is time consuming,
if you have expressions and complex numbers to solve.
Logarithms are a Math function, which tackle this guesswork avoiding
time consumption to solve such problems easily. Logarithms simplify
the Math and help to write the relationships in an understandable
Math function.
When Do We Use Logarithms?
You can use logarithms in many statistics, biology, physics, and
chemistry concepts to solve different problems.
Logarithms are mainly the inverse of the exponential function. Historically,
Math scholars used logarithms to change division and multiplication
problems into subtraction and addition problems, before the discovery
of calculators.
In recent times, Math scholars and students use logarithms to solve
exponential equations and to solve numbers extending from very big
to small expression in a more refined manner.
In general, we also use properties and applications of logarithms
in various geological circumstances:
1. To estimate the data in logs obtained from magnitude scales for
earthquakes.
2. Geologists also make use of logarithms to find the Gutenberg-Richter
relation.
3. Next, they also use logs to calculate alterations in atmospheric
CO2, population growth.
4. Finally, geologists prefer applications of logarithms in radioactive
decay-dating estimation, sedimentology, and to determine grain sizes.