11-09-2021
Mathematics

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X^2=16^X
Find the value of x

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11-09-2021

Answer:

[tex] {x}^{2} = {16}^{x} \\ \\ {x}^{2} = 2 {}^{4x} [/tex]

introduce logarithm of base 10:

[tex] log( {x}^{2} ) = log( {2}^{4x} ) \\ \\ 2 log(x) = 4x log(2) \\ \\ log(x) = 0.6x \\ \\ x = 4 .{10}^{x} [/tex]

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