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Norma-Jean [14]
3 years ago
14

Which of the following equations is equivalent to the logarithmic equation below? x = In4

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Given:

The equation is:

x=\ln 4

To find:

The equations that is equivalent to the given logarithmic equation.

Solution:

We have,

x=\ln 4

It can be written as:

e^x=e^{\ln 4}

e^x=4                  [\because e^{\ln x}=x]

Therefore, the correct option is D.

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PLEASE HELP ASAP!!!!
OleMash [197]

Answer:

y = -2x + 8

Step-by-step explanation:

The point slope form of an equation is written as

y = mx + c              ...............(i)

Where m is the slope and c is the constant

Now we Know that the equation is

y + 2 = -2(x-5)

and the given points are

m= -2

x = 5

and y= -2

Putting these values in equation (i) to find the value of c

y = mx + c

it becomes

-2 = -2(5) + c

-2 = -10 + c

Adding 10 on both sides

-2 + 10 = -10 + 10 + c

8 = c

or c=8

Now we have the values of m and c

where m= -2 and c = 8

Point slope form of an equation is

y = mx + c

putting the values of m and c to get equation in slope intercept form is

y = (-2)x + 8

or

y = -2x + 8


Other method:

The given point slope form is

y + 2 = -2(x-5)

We have to change it in y= mx + c      form

so solving it

y + 2 = -2x + 10

Subtracting 2 from both sides

y + 2 -2 = -2x + 10 -2

y = -2x + 8

which is same is

y=mx + c

so the required equation is

y = -2x + 8  

7 0
3 years ago
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