Question

Logarithms are studied for which of the following​ reasons? A. To help in solving exponential equations when relating the bases cannot be used. B. To make​ student's lives miserable. C. To be able to solve complex logarithmic equations. D. To validate the logarithmic properties.

Answer 1

To help in solving exponential equations when relating the bases cannot be used

Explanation:

Recall an equation of the form

`a^(x)=b\\` from the expression
`a^(x)\\`,
`a\\` is the base and the power is
`{x}\\`.

`a\\eq b\\` it is impossible to carryout the operation since the bases are not equal.

This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below

`loga^(x)=logb\\x=(logb)/(loga) \\`.

Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.