solve√(7×√(7×√(7×√(7×√(7=7^x
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Let
77777...−−−√−−−−−√−−−−−−−−√−−−−−−−−−−−√−−−−−−−−−−−−−⎷=x77777...=x
Clearly, x>0x>0
⟹x2=777777...−−−√−−−−−√−−−−−−−−√−−−−−−−−−−−√−−−−−−−−−−−−
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