Problem

\( 10^{2 x-7}-3=57 \)

Answer

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Answer

\( x=\frac{1}{2}(\log_{10}60+7) \)

Steps

Step 1 ：\( 10^{2 x-7}-3=57 \)

Step 2 ：\( 10^{2 x-7}=60 \)

Step 3 ：\( 2 x-7=\log_{10}60 \)

Step 4 ：\( 2 x=\log_{10}60+7 \)

Step 5 ：\( x=\frac{1}{2}(\log_{10}60+7) \)

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