Question

Write the equation in logarithmic form. N^4/3=m. Please show all your steps!!

Answer 1

`log_n(m)= (4)/(3)`

Explanation:

N^4/3=m

`n^(4/3)=m`

We need to write the equation in logarithmic form

we take log on both sides

`log(n^(4/3))=log(m)`

We apply log property to remove the exponent 4/3

As per log property we can move exponent before log

log(a^m) = m log (a)

So our equation becomes

`(4)/(3)log(n)=log(m)`

Now we divide both sides by log(n)

`(4)/(3) =(log(m))/(log(n))`

Now we apply change of base formula

log(a)/ log(b)= log_b(a)

`(4)/(3) =log_n(m)`

So log form is

`log_n(m)= (4)/(3)`