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Helga [31]
3 years ago
13

Write the log equation as an exponential equation

Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer:

(z+5)^{(3x+4)}  = 9

Step-by-step explanation:

Tip: When log_{a} b = c, a^{c} =b is also true.

log_{z+5} (9) = 3x+4   | <em>Original equation</em>

(z+5)^{(3x+4)}  = 9      | <em>Use tip</em>

aleksandr82 [10.1K]3 years ago
7 0

Answer:

z+5 3(x+4

This is your answer.

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In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!
g100num [7]

the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

Step-by-step explanation:

   x^{3} = - 64

   x^{3} +64  = 0

   We can write 64 as  4^{3}

  x^{3} + 4^{3} = 0

  using the identity  ( x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} ) )

we get,

  = (x+4) (x^{2} -x*4+4^{2} )

  = (x+4)(x^{2} -4x+16)    ....................(1)

 solving the quadratic equation  ,

   x^{2} -4x+16 =0

solutions of this quadratic equation can be obtained by

   x=-b +- \sqrt{b^{2}-4ac } /2a

let use y for factors

x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16}  / 2*x^{2}

x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}

x=4+-\sqrt{16-64}/2

x=4+-4\sqrt{3i} /2

<u />x=2+-2\sqrt{3i}    ..................(2)

from the equation 1 we have,

x-4=0

which gives solution x=4

and from equation 2 we got  x=2+-2\sqrt{3i}

so the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

3 0
3 years ago
The probability is 0.2 that a person shopping at a certain store will spend less than $20. For groups of size 17, find the mean
antiseptic1488 [7]

Steps:

1: p=0.2

2: n = 17

3: n*p= 17*0.2=3.4

Description:

The person will spend less than 20 or o.2 as seen in the question. Meaning p will equal 0.2. P for probability. Now n is for number. n will equal 17. And then we have to times all the number. N times P will equal 17 then times it by 0.2=  Answer will come as 3.4.

Answer: 3.4

The correct answer for this question is 3.4

Please mark brainliest

<em><u>Hope this helps.</u></em>

6 0
3 years ago
What the answer to this <br><br><br> -3+u=-20
yawa3891 [41]
- 3 + u = - 20

u = - 20 + 3

u = -17 

hope this helps!.
5 0
3 years ago
Read 2 more answers
The given line passes through the points (-2,-4) and (2,2) What is the equation, in point-slope form, of the line that is parall
Morgarella [4.7K]

Answer:

(y-1)=\frac{3}{2}(x+3)


Step-by-step explanation:

The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)


Since the line is parallel to the line shown it will have the same slope. To find m, count the slope from each marked point on the graph. Count the rise then the run and create a fraction rise/run. The slope is 6/4 which simplifies to 3/2. Now substitute it for m.

(y-1)=\frac{3}{2}(x+3)




3 0
3 years ago
A recipe calls for 1/3 of a cup of milk for 12 cookies. How many cups of milk are needed to make 72 cookies?
uysha [10]
2 cups of milk would be needed to make 72 cookies
7 0
3 years ago
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