Question

To find √8342 , use the logarithmic equation:

Answer 1

Answer:

Step-by-step explanation:

1/2log8,342 is almost correct.  Should enclose that "1/2" inside parentheses.  The "1/2" stems from our needing to find the value of the square root of 8342.

Answer 2

Answer:  The required answer is $\dfrac{1}{2}\log 8342.$

Step-by-step explanation:  We are given to use the logarithmic equation to find $\sqrt{8342}.$

We will be using the following logarithmic property :

$\log a^b=b\log a.$

Let us consider that

$x=\sqrt{8342}~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Applying logarithm on both sides of equation (i), we have

$\log x=\log{\sqrt{8342}\\\\\Rightarrow \log x=\log(8342)^\frac{1}{2}\\\\\Rightarrow \log x=\dfrac{1}{2}\log 8342.$

Thus, the required answer is $\dfrac{1}{2}\log 8342.$