Question 76
If $$a = 2^x, b = 4^y, c = 8^z$$ and $$a^{yz} . b^{zx} . c^{xy} = 4^6$$, then $$xyz = ...........$$
Solution
given that
$$a = 2^x, b = 4^y, c = 8^z$$ and
$$a^{yz} . b^{zx} . c^{xy} = 4^6$$ put the value of a,b and c
$$ 2^{xyz} . 4^{yzx} . 8^{zxy} = 4^6$$
$$ 2^{xyz} . 4^{yzx} . {2$$\times$$4}^{zxy} = 4^6$$
$$ 4^{xyz} . 4^{yzx} . 4^{zxy} = 4^6$$
$$ 4^{3zxy} = 4^6$$ when base are same then power will be equal
3xyz = 6
xyz = 2 Answer
Get AI Help
Create a FREE account and get:
- Download Maths Shortcuts PDF
- Get 300+ previous papers with solutions PDF
- 500+ Online Tests for Free
