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3 years ago

Which is the solution for log(4x-1)=log(x+1)+log2?

Mathematics

2 answers:

JulsSmile [24]3 years ago

4 0

Answer:

It's x=3/2

Step-by-step explanation:

Took it just now

Thepotemich [5.8K]3 years ago

3 0

Answer:

x = 1.5

Step-by-step explanation:

Solution

log(4x - 1) - log(x+1) = log2 log(x + 1) was subtracted from both sides
log[(4x - 1)/log(x+1)] = log2 Subtaction of logs means division
(4x - 1) / (x + 1) = 2 Take the antilog of both sides
4x - 1 = 2(x + 1) Remove the brackets
4x - 1 = 2x + 2 Add 1 to both sides
4x = 2x + 3 Subtract 2x
4x - 2x = 3
2x = 3 Divide by 2
x = 3/2 Answer

Check

Left Hand Side

log(4*1.5 - 1)
log(6 - 1)
log(5)

Right Hand Side

log(1.5 + 1) + log(2)
log(2.5) + log(2)
log2*2.5
log 5

And they check

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Please help- and explain if you can please- i'm not good with word problems

Kisachek [45]

Answer: 154 people

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I hope i got it right for you

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3 years ago

The graph of Fx), shown below, resembles the graph of G(X) = x?, but it has

Katyanochek1 [597]

Answer:

$y=\left(x-a\right)^{2\ }+b$

$y=\left(x-2\right)^{2\ }+2$

Step-by-step explanation:

Since we are not given any options so we will start with the general case.

The equation of such a graph can be modeled as

$y = x^{2}$

This graph is symmetrical around the origin, but in the attached diagram, the graph is shifted in the x-axis as well as in the y-axis,

$y=\left(x-a\right)^{2\ }$

Where the variable a shifts the graph to the right of x-axis when a is positive, when it is negative it shifts the graph to the left that is negative x-axis.

$y=\left(x-a\right)^{2\ }+b$

The variable b shifts the graph upward in the positive y-axis when b is positive, when it is negative it shifts the graph to the bottom that is negative y-axis.

Since in the attached diagram, the graph is in the positive x-axis and y-axis, therefore, a and b must be positive and can be estimated as

$y=\left(x-2\right)^{2\ }+2$

The graph of the above expression is attached and it looks very similar to the given graph.

8 0

3 years ago

Read 2 more answers

What is the solution of the equation expressed in the bar model below?

weeeeeb [17]

The solution of the equation expressed in the bar model is x = 4

The following equation can be extracted from the bar model:

Base on the Bar model, the following equation can be extracted below:

x + 6 = 10

If you notice from the Table, the horizontal width that housed the number 10 is the same size with the width that house the values x and 6.

Therefore, to find x, we sum x and 6 to get 10.

x + 6 = 10

subtract 6 from both sides

x + 6 - 6 = 10 - 6

x = 4

learn more on bar model here: brainly.com/question/10656872?referrer=searchResults

4 0

2 years ago

A polynomial function can be written as (x - 1)(x - 4)(x + 7). What are the x-intercepts of the graph of this function?

bekas [8.4K]

X - intercepts are also known as zeros. To solve this simply take each factor of the polynomial and set it equal to zero. Solve for x then you'll have your x - value of the x intercept.

x - 1 = 0

x - 1 +1 = 0 + 1

x = 1

x - 4 = 0

x - 4 + 4 =0 +4

x = 4

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

^^^All the above are the x values of the x - intercepts

The answer is...

C. (1 , 0) (4, 0) ( -7, 0)