Question

Which of the following is equivalent to log816?

a. 2
b. 1.248
c. 4/3
d. 3/4

Answer 1

x=4/3
C 4/3 hope this helped

Answer 2

Answer: The correct option is (c)
`(4)/(3).`

Step-by-step explanation: We are to select the correct value that is equivalent to the following expression :

`E=\log_8{16}.`

We will be using the following logarithmic properties :

`(i)~\log a^b=b\log a,\\\\(ii)~\log_ab=(\log b)/(\log a).`

So, the given expression becomes

`E\\\\=\log_8{16}\\\\\\=(\log16)/(\log8)\\\\\\=(\log2^4)/(\log2^3)\\\\\\=(4\log2)/(3\log2)\\\\\\=(4)/(3).`

Thus, the required value is
`(4)/(3).`

Option (c) is CORRECT.