2^(x^2-8x+18)=8=2^3
2^(x^2-8x+18)=2^3
x^2-8x+18=3
x^2-8x+15=0
D=4
x=(8+-2)/2 =5, 3
x1= 5
x2=3
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49^x+5*7^x-14=0
7^2x+5*7^x-14=0
пусть 7^x=t
t^2+5t-14=0
25+14*4=25+56=81
(-5+-9)/2=2, -7
t1=-7, t2=2
7^x=-7, net kornei
7^x=2 <=> 7^x=7^log7(2)
x=log7 (2)
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log4( 6x^2+18x+16)=2=2*log4(4)=log4 (16)
log4(6x^2+18x+16)=log4(16)
6x^2+18x+16=16
6x^2+18x=0
x^2+3x=x*(x+3)=0
x=0
x=-3
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4lg^2 (x)+lg (x^3)=1
4lg^2 (x) + 3lg (x) = 1
lg(x) =t
4t^2+3t-1=0
9+4*4=25
(-3+-5)/(2*4)=-1, 1/4
lg(x)=-1
lg=log10
lg(x)=-1=-log10 (10)=log10 (1/10)
x=1/10
lg(x)= 1/4 =1/4 * log10 (10) = log10 (10^(1/4))
x=10^(1/4)