If l o g 10 x = y t h e n l o g 1000 x 2 is equal to Options: A . &nbspy2 B . &nbsp2y C . &nbsp3y2 D . &nbsp2y3

Answer: Option D : D l o g 1000 x 2 = l o g 10 3 x 2 = 2 l o g 10 3 x = 2 3 l o g 10 x = 2 3 y

If log10 x=y then log1000x2 is equal to

Question

l o g_{10} x = y t h e n l o g_{1000} x^{2}

is equal to

Options:

A . y2

B . 2y

C . 3y2

D . 2y3

Answer: Option D
:
D

l o g_{1000} x^{2}

= l o g_{10^{3}} x^{2}

= 2 l o g_{10^{3}} x

= \frac{2}{3} l o g_{10} x

= \frac{2}{3} y

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