Question

已知3的x次方等于4的y次方等于36，求x分之2加y分之1的值

3^x等于 4^y等于36

Answer 1

已知3^x=4^y=36 x=log3 36 1/x=log36 3 2/x=2log36 3=log36 9
4^y=36 y=log4 36 1/y=log36 4
2/x+1/y=log36 9+log36 4
=log36 (4*9)
=log36 36
=1

Answer 2

∵3的x次方等于4的y次方等于36
3x²=36 4y²=36
x²=12 y²=9
∴x=±2√3 y=±3
∴x分之2加y分之1
x=2√3 y=3
=2/2√3+1/3=1/3√3+1/3
x=2√3 y=-3
=2/2√3-1/3=1/3√3-1/3
x=-2√3 y=3
=-2/2√3+1/3=-1/3√3+1/3
x=-2√3 y=-3
=-2/2√3-1/3=-1/3√3-1/3

Answer 3

∵3的x次方等于4的y次方等于36
3x²=36
4y²=36
x²=12
y²=9
∴x=±2√3
y=±3
∴x分之2加y分之1
x=2√3
y=3
=2/2√3+1/3=1/3√3+1/3
x=2√3
y=-3
=2/2√3-1/3=1/3√3-1/3
x=-2√3
y=3
=-2/2√3+1/3=-1/3√3+1/3
x=-2√3
y=-3
=-2/2√3-1/3=-1/3√3-1/3

Answer 4

四分之五

Answer 5

和log有关