Maths logarithms imat past paper question how is this A?

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A

2log10 (X)- 3 = log10 (y)

Log10(x^2)-3 = log10 (y)

log10 (x^2)- 3 log10 (10) = log10 (y)

log10 (x^2)- log10 (10^3) = log10 (y)

log10 (x^2/10^3) = log10 (y)

and thus y=x^2/10^3

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