Baldmannidn
Answered

From science to arts, IDNLearn.com has the answers to all your questions. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

Help pls 40 points
Maths genius awakee!

Two experiments were carried out to find the relationship between the variables x and y. Both
experiments showed that the relationship between x and y is in accordance to 3(9^x) = 27^y and log2 y = 2 + log2 (x - 2). Find the value of x and y that satisfy both experiments.

​

Help Pls 40 Points Maths Genius AwakeeTwo Experiments Were Carried Out To Find The Relationship Between The Variables X And Y Bothexperiments Showed That The Re class=

Sagot :

Jasonggggidn

Answer:

X=5/2 , y=2

Step-by-step explanation:

Sorry if I'm not correct

F4 ke?

View image Jasongggg
Goyangiidn
x = 2.5
y = 2

Explanation:

3(9^x) = 27^y
3(3^2x) = 3^3y
3^(2x + 1) = 3^3y
2x + 1 = 3y
2x - 3y = -1, first equation

log2 y = 2 + log2 (x - 2)
log2 y = log2 (2^2) + log2 (x - 2)
log2 y = log2 (2^2 x [x - 2])
log2 y = log2 (4x - 8)
y = 4x - 8
8 = 4x - y
4x - y = 8, second equation

Multiply the second equation by 3
12x - 3y = 24, third equation

Subtract the first equation from the third, cancelling the positive and negative 3y
It results in:
2x - 12x = - 1 - 24
-10x = -25
x = 2.5

Substituting x = 2.5 in equation (1)
2(2.5) - 3y = -1
5 - 3y = -1
-3y = -6
y = 2
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.