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.

Respuesta :

Answer:

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

Step-by-step explanation:

Recall an equation of the form

[tex]a^{x}=b\\[/tex] from the expression [tex]a^{x}\\[/tex], [tex]a\\[/tex] is the base and the power is [tex]{x}\\[/tex].

[tex]a\neq b\\[/tex] 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

[tex]loga^{x}=logb\\x=\frac{logb}{loga} \\[/tex].

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