a^x=b^y=c^z and abc =1 prove that 1/x + 1/y + 1/z =1
a^x=b^y=c^z and abc =1 prove that 1/x + 1/y + 1/z =1
aakash , 7 Years ago
Grade 9
9 grade maths> a^x=b^y=c^z and abc =1 prove that 1/x + 1...
1 AnswersSoumya Ranjan Mohanty
Last Activity: 7 Years ago
see question is wrong as 1/x + 1/y + 1/z = 0 , proving below:
let a^x=b^y=c^z=k => a=k^ (1/x) and b=k^ (1/y) and c=k^ (1/z)
as abc = 1 , k^(1/x)*k^(1/y)*k^(1/z)=1 => k^(1/x +1/y +1/z)=k^0
=> 1/x +1/y +1/z = 0 (proved) question given wrong, instead of 1, it should be 0.
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on 9 grade maths
In the figure (not to scale) AB = CD, angle DAP = angle DPA and A,B,C,D are concycli. If angle ADC = 80°, then find angle ACD.
In the figure (not to scale) AB = CD, angle DAP = angle DPA and A,B,C,D are concycli. If angle ADC = 80°, then find angle ACD.
9 grade maths
1 Answer Available
Last Activity: 2 Years ago
What length of tarpaulin 3m wide will be required to make conical tent of height 8m and base radius 6m ? Assume that the extra length of material that will be required for stitching and wastage in cutting is approximately 20cm ( Use pi= 3.14)
What length of tarpaulin 3m wide will be required to make conical tent of height 8m and base radius 6m ? Assume that the extra length of material that will be required for stitching and wastage in cutting is approximately 20cm ( Use pi= 3.14)
9 grade maths
1 Answer Available
Last Activity: 3 Years ago