Homework Help

explain logarithms ?

user profile pic

eighmard | Student | eNotes Newbie

Posted December 12, 2011 at 6:19 PM via web

dislike 0 like

explain logarithms ?

1 Answer | Add Yours

user profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted December 12, 2011 at 9:59 PM (Answer #1)

dislike 0 like

Logarithms simplify elaborated calculations and they are applied not only inside mathematical field, but other scientifical fields such that: chemistry (pH), biology(nautilus' shell), Earth science, psychology, astronomy, music.

The idea of function helps in the thorough study of logarithms.

The exponent to which a base a is raised is the logarithm of the number that results raising the base "a" to the exponent.

Solving for x the exponential equation `a^x = y` , came up with this conclusion.

`a^x = y =gt x*log_a (a) = log_a (y)`

But `log_a (a) = 1 =gt x = log_a (y)`

`` `a^(log_a (y)) = y`

The solution to this equation, `x = log_a (y), `  is unique.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes