Question

resolva as seguintes equações exponenciais:
    x+1
81       =1/   
             9
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      2x-3      x-1
0,20       =5

Answer 1

$81 ^{x+1}= \frac{1}{9}::(3 ^{4}) ^{x+1}=3 ^{-2}::3 ^{4x+4}=3 ^{-2}$

$4x+4=-2::4x=-6::x= -\frac{6}{4}::x=- \frac{3}{2}$


S={$- \frac{3}{2}$}



$(0,2) ^{2x-3}=5 ^{x-1}:: (\frac{1}{5}) ^{2x-3}=5 ^{x-1}::(5 ^{-1}) ^{2x-3}=5 ^{x-1}$

$5 ^{-2x+3}=5 ^{x-1}$

$-2x+3=x-1::-3x=-4::x= \frac{4}{3}$


S={$\frac{4}{3}$}