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Solve the following equation - (i) 2^(x+...

Solve the following equation - `(i) 2^(x+1)=8`

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Solve: 1/(1+x^(a-b))+1/(1+x^(b-a))=?

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  2. Show that : (x^(a(b-c)))/(x^(b(a-c)))÷((x^b)/(x^a))^c=1 ((x^(a+b))^2...

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  3. Solve the following equation - (i) 2^(x+1)=8

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  4. Show that: (i)\ (x^(a-b))^(a+b)\ (x^(b-c))^(b+c)\ (x^(c-a))^(c+a)=1 ...

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  5. Show that: ((a^(x+1))/(a^(y+1)))^(x+y)\ ((a^(y+2))/(a^(z+2)))^(y+z)\ (...

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  6. Show that: ((3^a)/(3^b))^(a+b)\ ((3^b)/(3^c))^(b+c)\ ((3^c)/(3^a))^(c+...

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  7. If 2^x = 3^y =12^z show that 1/z= 1/y+2/x

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  8. If 2^x=3^y=6^(-z) prove that 1/x+1/y+1/z=0

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  9. If a^x=b^y=c^z and b^2=a c , then show that y=(2z x)/(z+x)

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  10. If 3^x=5^y=(75)^z show that z=(xy)/(2x+y

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  11. If 27^x=9/(3^x), find xdot

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  12. Find the values of x in each of the following : (i)2^(5x)-:2^x=2^(20/...

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  13. Find the value of x in each of the following: (i)\ (3/5)^x\ (5/3)^(2x)...

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  14. Find the value of x in each of the following: 2^(x-7)\ xx\ 5^(x-4)=125...

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  15. Find the value of x in each of the following: (i)\ 5^(2x+3)=1 (ii)\ ...

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  16. If x=2^(1/3)+\ 2^(2/3) show that x^3-6x=6

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  17. Determine (8x)^x , if 9^(x+2)=240+9^x

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  18. If 3^(x+1)=9^(x-2), find the value of 2^(1+x)

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  19. If 3^(4x)=(81)^(-1) and 10^(1/y)=0. 0001 , find the value of 2^(-x+4y)

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  20. If 5^(3x)=\ 125\ and 10^y=0. 001 find x\ a n d\ y

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