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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
- Prove that: (3^(-3) xx 6^2xx sqrt(98))/(5^2 xx root(3)(1/(25)) xx (15)...
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- Prove that: ((0. 6)^0- (0. 1)^(-1))/((3/8)^(-1) (3/2)^3+ (-1/3)^(-1))=...
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- 1/(1+x^(a-b))+1/(1+x^(b-a))=?
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- Show that : (x^(a(b-c)))/(x^(b(a-c)))/((x^b)/(x^a))^c=1 ((x^(a+b))^...
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- Show that: (i)\ (x^(a-b))^(a+b)\ (x^(b-c))^(b+c)\ (x^(c-a))^(c+a)=1 ...
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- Show that:(a^(x-y))^(x+y).(a^(y-z))^(y+z).(x^(z-x))^(z+x)=1
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- Show that: ((3^a)/(3^b))^(a+b)\ ((3^b)/(3^c))^(b+c)\ ((3^c)/(3^a))^(c+...
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- If 2^x = 3^y =12^z show that 1/z= 1/y+2/x
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- If 2^x=3^y=6^(-z) prove that 1/x+1/y+1/z=0
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- If a^x=b^y=c^z and b^2=a c , then show that y=(2z x)/(z+x)
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- If 3^x=5^y=(75)^z show that z=(xy)/(2x+y
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- If 27^x=9/(3^x), find xdot
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- Find the values of x in each of the following : (i)2^(5x)-:2^x=25^(2...
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- Find the value of x in each of the following: (i)\ (3/5)^x\ (5/3)^(2x)...
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- Find the value of x in each of the following: (i)2^(x-7) xx 5^(x-4)=1...
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- Find the value of x in each of the following: (i)\ 5^(2x+3)=1 (ii)\ ...
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- If x=2^(1/3)+ 2^(2/3) show that x^3-6x=6
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- Determine (8x)^x , if 9^(x+2)=240+9^x
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- If 3^(x+1)=9^(x-2), find the value of 2^(1+x)
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- If 3^(4x)=(81)^(-1) and 10^(1/y)=0. 0001 , find the value of 2^(-x+4y)
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