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Hello, how to do 12(c) ?:)

Hello, how to do 12(c) ?:)-example-1
User Drneel
by
7.9k points

2 Answers

4 votes

Answer:

(
(4)/(11) ,
(1)/(11) )

Explanation:

27 = 3³ and √9 = 3 and xy ≠ 0


(3^(3x) )/(3^(y) ) = 3 ⇔
3^(3x-y) =
3^(1) ⇒ 3x - y = 1


log_(2) x - 2 =
log_(2) y
log_(2) x -
log_(2) y = 2 ⇔
log_(2) (x)/(y) = 2 ⇒
(x)/(y) = 2² ⇒ x = 4y


\left \{ {{3x-y=1} \atop {x=4y}} \right.

3(4y) - y = 1 ⇒ y =
(1)/(11) and x =
(4)/(11)

(
(4)/(11) ,
(1)/(11) )

User Silvernightstar
by
8.1k points
4 votes

Explanation:

27^x / sqrt(9^y) = 3 and log2(x) - 2 = log2(y).

3^3x / 3^y = 3 and log2(x) - log2(4) = log2(y).

3x - y = 1 and x/4 = y.

Therefore x = 4/11 and y = 1/11.

User Klaw
by
8.8k points

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