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Inga [223]
2 years ago
7

If logx27 + logy4 =5and logx27 - logy4 =1find x and y​

Mathematics
1 answer:
Elanso [62]2 years ago
5 0

Answer:

Hello,

I have reply too quick in comments (sorry)

Step-by-step explanation:

\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\

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Our new equation is -18y = -9.

Now, divide both sides by -18.

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We can plug in a value for y since y = 1/2 now.

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Divide by 2.

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3 years ago
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