### 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

Related Lessons

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

Related Lessons