Solve for x:5^x+1 + 5^1-x= 26
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Answer: Thus x=1 or -1 Step-by-step explanation: 5^(x+1)+5 ^(1-x)=26 5^x *5^1 + 5*5^-x=26 5*5^x +5/5^x =26 Let 5^x=y So 5y+5/y=26 5y²+5=26y 5y²-26y+5=0 5y²-25y-y+5=0 5y(y-5)-(y-5)=0 (y-5)(5y-1)=0 y-5=0,5y-1=0 y=5 or 1/5 So 5^x=5=5^1 x=1 OR 5^x=1/5=5^-1 x=-1 Thus x=1 or -1
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