Logarithms.

Quotient rule:
`log_a X - log_a Y = log_a (X/Y)`

Subjects > Mathematics > Logarithms


Question 06:

Find `x` if: `1/2log 36 - 3log 2 = log x`

Solution:
Given,
`1/2log 36 - 3log 2 = log x`
⇒ `log (36)^(1/2) - log 2^3 = log x`
⇒ `log (6^2)^(1/2) - log 8 = log x`
⇒ `log 6 - log 8 = log x`
use quotient rule to get,
`log (6/8) = log x`
⇒ `6/8 = x`
⇒ `x = 6/8 = 3/4`
∴ Value of `x` is `3/4`

Sorry, it's under construction !

Sorry, it's under construction !

Skills covered in the above question

quotient rule of logarithms


Question 06:

Find `x` if: `1/2log 36 - 3log 2 = log x`

Solution:
Given,
`1/2log 36 - 3log 2 = log x`
⇒ `log (36)^(1/2) - log 2^3 = log x`
⇒ `log (6^2)^(1/2) - log 8 = log x`
⇒ `log 6 - log 8 = log x`
use quotient rule to get,
`log (6/8) = log x`
⇒ `6/8 = x`
⇒ `x = 6/8 = 3/4`
∴ Value of `x` is `3/4`

Sorry, it's under construction !

Sorry, it's under construction !

Skills covered in the above question

quotient rule of logarithms