Hi guys I need this answer quickly
prove that 2x*4y-1000000z =xyz and find a
joking
this app is stupd and u also
Answers
Given { 2 }^{ x }\quad =\quad { 4 }^{ y }\quad =\quad { 8 }^{ z }{ 2 }^{ x }\quad =\quad { 2 }^{ (2y) }\quad =\quad { 2 }^{ (3z) }2
x
=4
y
=8
z
2
x
=2
(2y)
=2
(3z)
If basics are equal then their powers are also equal
x = 2y = 3z
xyz=288
x\times (\frac { x }{ 2 } )\times (\frac { x }{ 3 } )\quad =\quad 238 (x^3)/6 = 288{ x }^{ 3 }\quad =\quad 288\times 6\quad =\quad 1728x×(
2
x
)×(
3
x
)=238(x
3
)/6=288x
3
=288×6=1728
x= 12
y\quad =\quad \frac { x }{ 2 } \quad =\quad \frac { 12 }{ 2 } \quad =\quad 6y=
2
x
=
2
12
=6
z\quad =\quad \frac { x }{ 3 } \quad =\quad \frac { 12 }{ 3 } \quad =\quad 4z=
3
x
=
3
12
=4
\frac { 1 }{ 2 } x+\frac { 1 }{ 4 } y+\frac { 1 }{ 8 } z\quad =\quad (\frac { 1 }{ 2 } )\times 12+(\frac { 1 }{ 4 } )\times 6+(\frac { 1 }{ 8 } )\times 4\quad =\quad 6+(\frac { 3 }{ 2 } )+(\frac { 1 }{ 2 } )\quad =\quad 8
2
1
x+
4
1
y+
8
1
z=(
2
1
)×12+(
4
1
)×6+(
8
1
)×4=6+(
2
3
)+(
2
1
)=8 "