If \( 5^{3 x^{2}} \log _{10} 2=2^{\left(x+\frac{1}{2}\right) \log _{10} 25} \) , then \( x \) eq...

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If \( 5^{3 x^{2}} \log _{10} 2=2^{\left(x+\frac{1}{2}\right) \log _{10} 25} \)
, then \( x \) equals to
(A) \( 1,-\frac{1}{3} \)
(B) 1
(C) \( 1,-\frac{1}{2} \)
(D) \( -\frac{1}{3}, 1 \)
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