1.

If 9power x + 2 = 720 +9 power X find the value of (4x)power 1/2

Answer» GIVEN expression , \bold{9^{<klux>X</klux>+<klux>2</klux>}=720+9^x}

\bold{9^{x+2}=720+9^x}\\\\\bold{9^x.9^2=720+9^x}\\\\\bold{81.9^x=720+9^x}\\\\\bold{80.9^x=720}\\\\\bold{9^x=9}
∴ x = 1

Now, VALUES of \bold{(4x)^{1/2}} = (4 × 1)^(1/2) = 2

HENCE, answer is 2


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