Question

Which expression is equivalent to log 5(x/4) ^2

Answer 1

C, is your answer.
have a blessed day

Answer 2

Answer:

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 $(a)^{b}$ = $b.log(a)$

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

2(log 5$(\frac{x}{4} )$

[Here base is 5]

ii) Quotient rule: log($\frac{x}{y} ) = log x - log y$

Using the above rule, we can write as follow

2($log(5)x - log(5) 4$

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.]