App Logo

No.1 PSC Learning App

1M+ Downloads

(2x)(2y)=8,(9x)(3y)=81(2^x)(2^y)=8 , (9^x)(3^y)=81ആയാൽ x,y യുടെ വില എത്ര?

A1,2

B2,1

C1,1

D2,2

Answer:

A. 1,2

Read Explanation:

(2x)(2y)=2x+y=8=23    x+y=3....(1)(2^x)(2^y)=2^{x+y}=8=2^3\implies{x+y}=3....(1)

9x×3y=32x+y=81=34    2x+y=4....(2)9^x\times3^y=3^{2x+y}=81=3^4\implies{2x+y}=4....(2)

(2)(1)    x=1,y=2(2)-(1)\implies{x}=1,y=2

 


Related Questions:

ഒരു സംഖ്യയുടേയും അതിന്റെ വ്യുൽക്രമത്തിന്റേയും തുക 6 ആയാൽ സംഖ്യ ഏത്?

Find the nature of roots of the quadratic equation:

x2+16x+64=0x^2+16x+64=0

If x4+1x4=34x^4+\frac{1}{x^4}=34, then the value of (x1x)2(x-\frac{1}{x})^2 will be

A statement is given, followed by four conclusions given in the options. Find out which conclusion is true based on the given statement. Statement: H=W>F≥S≥T>Y

If a + b = 11 and ab = 15, then a2+b2a^2 + b^2 is equal to: