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 [tex](a)^{b}[/tex] = [tex]b.log(a)[/tex]
Using the power rule, we can write the given expression as
2(log 5[tex](\frac{x}{4} )[/tex]
[Here base is 5]
ii) Quotient rule: log([tex]\frac{x}{y} ) = log x - log y[/tex]
Using the above rule, we can write as follow
2([tex]log(5)x - log(5) 4[/tex]
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.]
