Which expression is equivalent to log 5(x/4) ^22log5 +log5 42log5 +log5 162log5x-2log5 42log5x-log5 4

C) 2log5 x-2log5 4

Step-by-step explanation:

The given expression is  log 5(x/4) ^2

Here we have to use a set of log rules and simplify this.

i) Power rule: log =

Using the power rule, we can write the given expression as

2(log 5

[Here base is 5]

ii) Quotient rule: log(

Using the above rule, we can write as follow

2(

Now we have to use the distributive property a(b + c) = ab + ac

Using the distributive property, we get

2log(5) x - 2log(5) 4    [here the base is 5.]

i can't see the picture : /