The angle of elevation of the sun, when ...

The angle of elevation of the sun, when the length of the shadow of a tree `(1/sqrt3)` times the height of the tree is____

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The correct Answer is:

`(ab)/(a^2+b^2)(x^(a/b)+x^(b/a))=(a/b)^((a^2+b^2)/(a^2-b^2))`

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CALCUTTA BOOK HOUSE-LAWS OF INDICES-EXERCISE - 6

If 4^a=36^b =9^c, then prove that (b)/(a)+(b)/( c)=1.
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If x^2=y^3, then prove that (x/y)^(3/2)+(y/x)^-(2/3)=x^(1/2)+y^(1/3).
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If a^x=z^y" and "a^z=z^x, then prove that x^2 =yz.
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If (x^(n^2))^n = (x^(2^n))^2, then show that root(n+1)(n^3)=2.
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If x=(sqrt(2)+1)^(-1/3), then prove that (x-x^(-1))^3+3(x-x^(-1))+2=0.
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If (y/z)^a (z/x)^b (x/y)^c=1, then prove that (y/z)^((1)/(b-c))=(z/x)^...
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If a= xy^(p-1), b=xy^(q-1),c=xy^(r-1), then show that a^(q-r).b^(r-p)....
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The angle of elevation of the sun, when the length of the shadow of a ...
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If x=3^(1/3)+3^(-1/3), find the value of (3x^3-9x).
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If x= 2^(2/3)+2^(1/3), find the value of (x^3-6x).
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If x=1+3^(2/3)+3^(1/3), find the value of (x^3-3x^2-6x-4).
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If x=2^(1/3)-2^(-1/3), find the value of (2x^2+6x).
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Solve : 3^(2x)+9=10.3^x
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Solve : y^x=4, y^2=2^x.
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Solve : 3^x=9^y, 5^(x+y+1) = 25^(xy)
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Solve : 8^x.4^y= 128, 9^(x+y) = 27^(xy)
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Solve : (5^x)/(5^y)=25, (4^y)/(2^x)=2
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Solve : x^y=2^x, x= 2y.
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Solve : 5^x+3^y=8, 5^(x-1)+3^(y-1)=2.
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