Logarithm - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Logarithm :: Discussion

Find the value of x

Log₄(log₈ 64) = log₅ x

√5

Answer : Option D

Explanation :

ATQ, Log₄ (log₈ 64) = log₅ x...... (i)

Let, log₈ 64 = a

Or, 64 = 8^a, or 8^a = 8²

That means a=2

Now, put log₈ 64 = 2in equation 1.

Log₄ (2) = log₅ x...... (ii)

Now, let log₄ 2 = s

Or, 4^s = 2, or 2^2S = 2

Now, on comparing both side we get 2_s = 1, or s = ½

Put the value of s in equation 2

So, log₅ x = ½

Therefore, x = 5^1/2 = √5

Be The First To Comment

Comments

Name