Logarithm - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Logarithm :: Discussion

If log_b x = ͞5.1342618, then the value of log₁₀(x^(1/4)) will be

͞1.2835655

͞2.7164345

͞2.7835655

͞3.2164345

Answer : Option C

Explanation :

Here log_b x = ͞5.1342618 is given and log₁₀(x^(1/4)) is asked

That means here b also treat as base 10

Now, we can say log₁₀ x = ͞5.1342618 = -5 + 0.1342618 => -4.8657382

Therefore, log₁₀ (x^1/4) = ¼ log₁₀ x

Or, ¼ (-4.8657382) = -1.21643455, but it is not in the option.

To make it -2, we have to subtract 0.7835655 from -1.21643455

i.e., -1.21643455 - 0.7835655 = -2

Now, to get back on the original value we have to add 0.7835655 in -2.

Or, -2 + 0.7835655 = ͞2.7835655

Hence, the c is correct.

Be The First To Comment

Comments

Name