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: The required answer is [tex]\dfrac{1}{2}\log 8342.[/tex]
Step-by-step explanation: We are given to use the logarithmic equation to find [tex]\sqrt{8342}.[/tex]
We will be using the following logarithmic property :
[tex]\log a^b=b\log a.[/tex]
Let us consider that
[tex]x=\sqrt{8342}~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Applying logarithm on both sides of equation (i), we have
[tex]\log x=\log{\sqrt{8342}\\\\\Rightarrow \log x=\log(8342)^\frac{1}{2}\\\\\Rightarrow \log x=\dfrac{1}{2}\log 8342.[/tex]
Thus, the required answer is [tex]\dfrac{1}{2}\log 8342.[/tex]
