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Katena32 [7]
3 years ago
8

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

Mathematics
2 answers:
Irina-Kira [14]3 years ago
5 0
C, is your answer.
have a blessed day
lilavasa [31]3 years ago
3 0

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.]

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