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8 grade maths> a x =3 y =c z ,b 2 =ac,y=...

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a^x=3^y=c^z,b²=ac,y=

juliet , 9 Years ago

Grade 8

1 Answers

noogler

Last Activity: 9 Years ago

y=2xzlog(b)/(x+z)log(3)

let a^x=3^y=c^z=k(cnstant)

a=k^1/x,3=k^1/y,c=k^1/z

given ac=b²

k^1/x . k^1/z=b²

k^1/x+1/z=b²

k^x+z/xz=b²

k = b^2xz/x+z

substitute k value in 3=k^1/y

3=b^2xz/(x+z)y

apply logarithm on both sides

log3=2xzlog(b) /(x+z)y log(a^x)=xlog(a)

y=2xzlog(b)/(x+z)log(3)

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