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1) 5^(x+1) - 126*5^0.5x + 25=0
2) 729 *7^x + 9^x - 63^x - 729=0
1) 5^(x+1) - 126*5^0.5x + 25=0
2) 729 *7^x + 9^x - 63^x - 729=0
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Verified answer
15*5^x-126*5^0,5x+25=0
5^0,5x=a
5a²-126a+25=0
D=15876-500=15376
√D=124
a1=(126-124)/10=1/5⇒5^0,5x=1/5⇒0,5x=-1⇒x=-2
a2=(126+124)/10=25⇒5^0,5x=25⇒0,5x=2⇒x=4
2
729*(7^x-1)-9^x*(-1+7^x)=0
(7^x-1)*(729-9^x)=0
7^x-1=0
7^x=1
x=0
729-9^x=0
9^x=729
x=3