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3 years ago

What is the solution of log3x −725 = 2? x = −2 x = 2 x = 3 x = 4

1 answer:

4 0

The best and most correct answer provided from your question about the solution of a logarithmic equation is the fourth option which is x = 4. The solution to the equation is as follows:

We can transform the expression to:

(3x-7)^2 = 25

Solving for x using your algebra:

x = 4

I hope it has come to your help.

You might be interested in

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?

Ket [755]

Option C: $220 \ cm^2$ is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

$A=2(w l+h l+h w)$

Substituting $w=10$ , $h=5$ and $l=4$ in the formula, we get,

$A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)$

Multiplying the terms within the bracket, we have,

$A=2 \cdot(40 +20+5 0)$

Adding all the values within the bracket, we get,

$A=2 \cdot(110)$

Multiplying, we have,

$A=220$

Thus, the surface area of the rectangular prism is $220 \ cm^2$

Hence, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

How do the gcf and the lcm help you when multiplying and adding or subracting fractions

kari74 [83]

<h3>Explanation:</h3>

GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.

Example

The numerator and denominator of 6/8 have GCF of 2:

6/8 = (2·3)/(2·4)

The fraction can be reduced by canceling those factors.

(2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4

___

LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.

Example

The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.

2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15

4 0

3 years ago

In Exercises 27 and 28, find the domain of the function

Natali5045456 [20]

Question 27

The graph on question 27 indicates that there are three points with the locations such as:

(2, 6)

(4, 12)

(6, 18)

In other words, there are three points that lie on the graph with the x-values such as:

{(2, 6), (4, 12), (6, 18)}

We know that the domain includes the set of x-values.

Hence, the domain of the function is:

Domain: {2, 4, 6}

Since the points are not connected between them. In other words, there is not a continuous line.

Thus, the function represented on the graph has a discrete domain.

Question 28

The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).

Since there is a continuous line between the points from x = 0 to x = 7.

Thus, the domain of the line function is:

Domain: {0, 1, 2, 3, 4, 5, 6, 7}

As the line segment is a continuous line. Thus, the domain is continuous.

3 0

3 years ago

Divide -2x^3-5x^2+4x+2 by x+2

erik [133]

Answer:

The correct option is C. $-2x^2-x+6, R(-10)$

Explanation:

Given:

Dividend = -2x^3-5x^2+4x+2

Divider =(x+2)

Solution:

Now by using the division method , we will find out the quotient and remainder of the given equation

And the equation will become

$-2x^3-5x^2+4x+2=(x+2)(-2x^2-x+6)-10$

So , We will get the quotient = $-2x^2-x+6$

And Remainder = -10

Hence the Correct option which perfectly satisfy the given equation is C.

4 0

3 years ago

I Reaally Need Help If You Wamt Ill Eve Go Over 100 Points

Pani-rosa [81]

(a) y = 2x + 3
(b) (1,5), (3,3); y = 3x + 3 5 = m1 + b, 3 = m3 + b
(c) coincident i believe, because it is not independent or inconsistent
(d) 2x + 3 = 3x + 3
(-2x)(-3) (-2x)(- 3)
0 = -2x
x = 0

hope this helps

5 0

3 years ago

Read 2 more answers