Which expression is equivalent to log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction?
log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w

The expression that could be considered equivalent to logSubscript 12 Baseline (StartFraction one-half Over 8 w EndFraction would be:

B). log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w) or  

Given that,

Using the expression,

We get,

Using expression

∵

Thus, option B is the correct answer.

Learn more about "Expression" here:

link

correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)

Step-by-step explanation:

Here we need to simplify a logarithmic expression and find which expression is equivalent to it . Let's find out:

We have ,

log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction) or ,

⇒

We know that :

⇒

We know that :

⇒

Therefore , correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph