Question

To find √8342 , use the logarithmic equation:

log 4,171
√log8342
log 8,342 - log 1/2
1/2log8,342

Answer 1

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
`(1)/(2)\log 8342.`

Step-by-step explanation: We are given to use the logarithmic equation to find
`√(8342).`

We will be using the following logarithmic property :

`\log a^b=b\log a.`

Let us consider that

`x=√(8342)~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

`\log x=\log{√(8342)\\\\\Rightarrow \log x=\log(8342)^(1)/(2)\\\\\Rightarrow \log x=(1)/(2)\log 8342.`

Thus, the required answer is
`(1)/(2)\log 8342.`