Question

помогите решить 5^x+5^(x+1)+5^(x+2)=10∙3^x+3^(x+1)+2∙3^(x+2)

Answer 1

5^x * (1+5+25) = 3^x * (10+3+18)
5^x * 31 = 3^x * 31
5^x = 3^x
5^x/3^x = 1
(5/3)^x = (5/3)^0
x = 0

Answer 2

$5^x+5^{x+1}+5^{x+2}=10*3^x+3^{x+1}+2*3^{x+2}\5^x(1+5^1+5^2)=3^x(10+3^1+2*3^2)\5^x*31=3^x*31\5^x=3^x\frac{5^x}{3^x}=1\(frac{5}{3})^x=(frac{5}{3})^0\x=0$