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3 years ago

What is the domain? A B C D

Mathematics

2 answers:

KengaRu [80]3 years ago

7 0

Answer:

Step-by-step explanation:

1. The domain is the x-value of a function.

2. In that image, the x-values are the numbers on the left of each parenthesis.

3. You should put the domains in increasing order, so the final answer is -2, 0, 2, 4.

DochEvi [55]3 years ago

4 0

The answer would be C

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Which logarithmic equation has the same solution as x minus 4 = 2 cubed

vampirchik [111]

Given:

The given equation is $x-4=2^{3}$

Solving the equation $x-4=2^{3}$ , we get;

$x-4=8$

$x=12$

We need to determine the logarithmic equation that is equivalent to the given equation.

Option A: $\log 3^{2}=(x-4)$

Simplifying, we get;

$\log 9=x-4$

$\log 9+4=x$

$4.95=x$

Since, the values of x are not equivalent, the equation $\log 3^{2}=(x-4)$ is not equivalent to $x-4=2^{3}$

Option A is not the correct answer.

Option B: $\log 2^{3}=x-4$

Simplifying, we get;

$\log 8=x-4$

$\log 8+4=x$

$4.9=x$

Since, the values of x are not equivalent, the equation $\log 2^{3}=x-4$ is not equivalent to $x-4=2^{3}$

Option B is not the correct answer.

Option C: $\log _{2}(x-4)=3$

Simplifying, we get;

$x-4=2^{3}$

$x-4=8$

$x=12$

Since, the values of x are equivalent, the equation $\log _{2}(x-4)=3$ is equivalent to $x-4=2^{3}$

Hence, Option C is the correct answer.

Option D: $\log _{3}(x-4)=2$

Simplifying, we get;

$x-4=3^2$

$x-4=9$

$x=13$

Since, the values of x are not equivalent, the equation $\log _{3}(x-4)=2$ is not equivalent to $x-4=2^{3}$

Hence, Option D is not the correct answer.

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