All categories

2 years ago

What is the exponential form of the logarithmic equation? 4=log0.8 0.4096

1 answer:

6 0

The exponential form of this equation is "0.8⁴ = 0.4096 ".

Now, in this logarithm equation the base of the log is 0.8.
when we convert this equation to exponential form 0.8 will go to left side, 4 moved up and became the exponent of 0.8 and thus it makes the exponential equation;
4=log₀.₈ 0.4096 logarithmic equation

0.8⁴ = 0.4096 exponential form

You might be interested in

Which of the following ratios is equivalent to 12/15

Mnenie [13.5K]

4/5 because 12/15 was simplified using 3.

6 0

3 years ago

The lines intersect at point C. What is the value of x?

Agata [3.3K]

Answer:

The correct answer option is 21.

Step-by-step explanation:

We know that the given lines PW and AD intersect at the point C.

Therefore, the two given angles are equal to each other and we can write them in the form of an equation as:

(4x - 4)° = (3x + 17)°

Solving for x to get:

4x - 4 = 3x + 17

4x - 3x = 4 + 17

x = 21

Therefore, the value of x is equal to 21.

5 0

3 years ago

Read 2 more answers

Help me as fast as you can make sure you show me how to work it out just type the answer

oksian1 [2.3K]

Answer:

to find compound interest

it is

p(1+r) ^n

p stands for principa

r is the rate (percentage)

n is the amount of years

820(1+3.5 ) ^ 5

100

chsnge the percentsge to a decimal and add it to 1.

820(1 + 0.035) ^ 5

820(1.035)^5

raise what is in the bracket to the power of 5 which is the amount of years

820× 1.19

=£975.80

im not good with simple interest,could someone else show her how to do it please

7 0

2 years ago

In how many ways can 8 people be seated in a row if (a) there are no restrictions on the seating arrangement? (b) persons A and

aleksklad [387]

Answer:

a ) P(8) = 40320

b ) Pt(7) = 10080

c ) P(t) = 48

d ) P(4) = 24

e ) P(4) = 24

Step-by-step explanation:

a) Without restrictions 8 persons can seat according to

P(8) = 8 ! P(8) = 8*7*6*5*4*3*2*1

P(8) = 40320

b) Two people must sit next to each other

Let A and B are a unit in the group

Then we have 7 elements

P₁(7) = 7 ! P₁(7) = 7*6*5*4*3*2*1

P₁(7) = 5040

Now this number is for arrangement A B we should add the same number now with B A

Then P₂(7) = 5040 and

Pt(7) = 10080

c) There are 4 men and 4 women that can not sit next to each other

Let A B C and D stands for men and 1 2 3 and 4 women

A 1 B 2 C 3 D 4

This kind of arrangement is what we are loking for

If we change men and women are still we have

P₁(4) = 4! P₁(4) = 4*3*2*1

P₁(4) = 24

Now we dont move men but women

P₂(4) = 24

In this case P(t) = 24+24

P(t) = 48

d) If five men is a group we have only 4 elements

P(4) = 4! P(4) = 4*3*2*1

P(4) = 24

e) If we have four couples we only have four elements

P(4) = 24

6 0

2 years ago

Given (-3, 1) and (3,-3). The slope of the line is _______ . The equation of the line is ___________ .

chubhunter [2.5K]

Answer:

-2/3

y=-2/3 x -1

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-1}{3--3}=\frac{-4}{3+3}=\frac{-4}{6}=\frac{-2}{3}$

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-1)=-2/3(x--3)

y-1=-2/3(x+3)

y=-2/3 x -6/3 +1

y=-2/3 x -1

3 0

3 years ago

Read 2 more answers