MCQ
Given $a = 2^x, b = 4^y, c = 8^z$ and $ac = b^2$ Find the relation between $x, y$ and $z$
- ✓$x + 3z = 4y$
- B$2x + 3z = 4y$
- C$x + 3y = 4z$
- D$x - 3z = 4y$
$ac = b^2$
$\Rightarrow < br > < br > 2^x. 8^z = (4^y)^2$
$\Rightarrow < br > < br > 2^x. (2^3)^z= ((2^2)^y)^2$
$\Rightarrow < br > < br > 2^x. 2^{3z}= 2^{4y}$
$\Rightarrow 2^x + 3^z = 2^4y$
$\Rightarrow x + 3z = 4y$
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