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If (log)2y=xa n d(log)3z=x , find 72^x i...

If `(log)_2y=xa n d(log)_3z=x ,` find `72^x` in terms of `yand zdot`

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`(72)^x`
`(2^3*3^2)^x`
`2^(3x)*3^(2x)`
`(2^x)^3*(3^x)^2`
`z^3*y^2`
`y^2z^3`.
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CENGAGE-LOGARITHM-Solved Examples And Exercises
  1. Solve : 2(25)^x-5(10^x)+2(4^x)geq0.

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  2. If (x(y+z-x))/(logx)=(y(z+x-y))/(logy)(z(x+y-z))/(logz),p rov et h a ...

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  3. If (log)2y=xa n d(log)3z=x , find 72^x in terms of yand zdot

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  4. If (log)a3=2and (log)b8=3, then prove that (log)a b=(log)3 4.

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  9. The reciprocal of 2/((log)4(2000)^6)+3/((log)5(2000)^6) is ..............

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  10. The value of 5^((log)(1/5)(1/2))+(log)(sqrt(2))4/(sqrt(7)+sqrt(3))+(lo...

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  11. The value of N=((log)5 250)/((log)(50)5)-((log)5 10)/((log)(1250)5) is...

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  12. If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then fin...

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  13. If loge((a+b)/2)=1/2(loge a+loge b), then find the relation between a ...

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  14. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to

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  15. The value of loga b-log|b|= (a)loga (b) "log"|a| (c) -loga (d) ...

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  16. If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is 0 (b) 1 ...

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  17. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

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  18. The number of N=6-(6(log)(10)2+(log)(10)31) lies between two successi...

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  19. (log)4 18 is (a) a rational number (b) an irrational number (c) ...

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  20. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

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