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Gnoma [55]
3 years ago
7

Solve each exponential equation. 6^x+2 = 12

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

The solution is x = 1/log(6)

Step-by-step explanation:

Hi there!

First, let´s write the equation:

6ˣ + 2 = 12

subtract 2 at both sides of the equation

6ˣ = 10

apply log at both sides of the equation

log(6ˣ) = log(10)       log(10) = 1

Apply logarithm property: log(xᵃ) = a log(x)

x log(6) = 1

Divide both sides by log(6)

x = 1/log(6)

The solution is x = 1/log(6)

Have a nice day!

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OMG JUST REALIZED I FORGOT TO PUT PICTURES THE FIRST 2 TIMES SO SORRY PLEASE HELP!
saul85 [17]

I got it now!

(hold your applause)

Area of the rectangle is 12 to the power of 2 (or you can just say squared) and that equals 144cm squared

the area of the circle is pi radius squared (in this case radius is 3) and it equals 9 pi squared

to get the shaded area that is last over with the circles removed you would have to do (144)-(9pi) (this part is unachievable without a calculator that has the pi symbol to fill in instead of just writing 3.14) and after you get the answer of that which is 115.725666118

and that amount you must do the same with so it would be

(115.725666118)-(9pi) and that equals ...............

87.4513322357

(you may now applaud)

5 0
3 years ago
3/4 / 3/5 divided. write your answer in simplest form or as a mixed number in simplest
Gnoma [55]

Answer: 5/4

Step-by-step explanation:

do the keep change flip method

then it will be 3/4*5/3 which then equals 15/12 after that you would divide by 3 cause it is the only number that would go in evenly then the answer will be 5/4 in the simplest form

6 0
2 years ago
What is the value of X
Alexus [3.1K]

Answer:

30

Step-by-step explanation:

Use part/whole proportions. 10/25 (15 + 10) = 12/x. Multiply 12 times 25 (300) = 10x (10 times x). 300 = 10x, isolate x by dividing both sides by 10 and you get 30 = x.

6 0
3 years ago
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Vesna [10]
-3x + 5 = 16

First, subtract 5 from both sides.

-3x = 11

Then, divide -3 by both sides.

x = -11/3 or -3.66....
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3 years ago
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