Question

Find the value of the expression below.log4 3 + log4 8 - log4 6A.1B.3C.0D.2

Answer 1

Given:

$log_43+log_48-log_46$

To Determine: The value of the given expression

Solution

Let us apply the logarithm rule below

$\begin{gathered} logA+logB=log(A\times B) \\ So \\ log_43+log_48=log_4(3\times8)=log_424 \\ log_43+log_48-log_46=log_424-log_46 \end{gathered}$

Applying the rule below again

$\begin{gathered} logA-logB=log(A\div B) \\ So, \\ log_424-log_46=log_4(24\div6)=log_44 \end{gathered}$

And finally applying the rule below

$\begin{gathered} log_aa=1 \\ Then \\ log_44=1 \end{gathered}$

Hence, the solution of the given expression is 1, OPTION A