Task/25541671
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5^(4x -7) =0,04^(3x +8) * * * 0,04 4/100 =1/25 = 1/5² =5⁻² * * *
5^(4x -7) =5^(-2*(3x +8) ) ;
4x -7 = - 2*(3x +8) ;
4x -7 = -6x -16 ;
10x = -9 ;
x = -0,9 .
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3^(x-1)+ 3^(x-2) =2 ;
(3^x)*(3⁻¹ +3⁻²) =2 ;
(3^x) *( 1/3+1/9) =2 ;
(3^x)*4/9 =2 ;
(3^x)=9/2 ;
xLg3=( Lg9 -Lg2) ;
x =( Lg9 -Lg2) / Lg3 .
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Log(1/3) (x+2) =Log(2) 1/16 ;
-Log(3) (x+2) = - 4 ;
Log(3) (x+2) = 4 ;
x+2 = 3⁴ ;
x =81 - 2 ;
x=79.