[tex]\displaystyle 1)2^x-2=0\\2^x=2\\2^x=2^1\\x=1\\\\2)3^x-1=0\\3^x=1\\3^x=3^0\\x=0\\\\3)5^x^-^1=0\\5^x^-^1=1\\5^x^-^1=5^0\\x-1=0\\x=1[/tex]
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[tex]\displaystyle 1)2^x-2=0\\2^x=2\\2^x=2^1\\x=1\\\\2)3^x-1=0\\3^x=1\\3^x=3^0\\x=0\\\\3)5^x^-^1=0\\5^x^-^1=1\\5^x^-^1=5^0\\x-1=0\\x=1[/tex]