Logarithms.

is the inverse function to exponentation, as it answers the question, how many of one number do we multiply to get another number.
If `log_b a = x` then `a = b^x`

Subjects > Mathematics > Logarithms


Question 04:

Solve for `x` if: `log_x 729 = 3`

Solution:
Given,
`log_x 729 = 3`
From the definition of logarithm,
⇒ `729 = x^3`
But `729 = 9^3`
Hence,
⇒ `9^3 = x^3`
since we have equal exponents in both sides, hence bases are equal
i.e `x = 9`
∴ Value of `x` is 9.

Sorry, it's under construction !

Sorry, it's under construction !

Skills covered in the above question

meaning of logarithm


Question 04:

Solve for `x` if: `log_x 729 = 3`

Solution:
Given,
`log_x 729 = 3`
From the definition of logarithm,
⇒ `729 = x^3`
But `729 = 9^3`
Hence,
⇒ `9^3 = x^3`
since we have equal exponents in both sides, hence bases are equal
i.e `x = 9`
∴ Value of `x` is 9.

Sorry, it's under construction !

Sorry, it's under construction !

Skills covered in the above question

meaning of logarithm