Question

Hey Brainly Mates!!!

Please solve the question which is ..............


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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$Given:a^x = b^y = c^z$

$Let:a^x = b^y = c^z = k$

(i)

$a^x=k =>a=k^{\frac{1}{x} }$

(ii)

$b^y=k =>b=k^{\frac{1}{y} }$

(iii)

$c^z=k=>k=c^{\frac{1}{z} }$

Now,

$b^2=ac$

$=>(k^{\frac{1}{y}})^2 = k^{\frac{1}{x}} * k^{\frac{1}{z} }$

$=>k^{\frac{2}{y}} = k^{\frac{1}{x} + \frac{1}{z}}$

$=>\frac{2}{y}=\frac{1}{x} + \frac{1}{z}$

$=>\frac{2}{y}=\frac{x + z}{xz}$

$=>\boxed{y = \frac{2zx}{x + z}}$

Hope it helps!