Question

Assunto Logaritmo!!!

Answer 1

1)    
    a) log5(25) = log5(5^2) = 2log5(5) = 2   
    b) log2(1/8) = -log2(2^3) = -3   
    c) log√3(9) = log(9)/(log(3)/2) = 2log(3)/(log(3)/2) = 4   
    d) log1/5(125) = -log(5^3)/log(5) = -3   
    e) log√27(³√9)= (log(9)/3)/(log(3^3)/2) = 2log(3)/3 / (3log(3)/2) = (2/3)*(2/3) = 4/9         
    2)

    a) 8^log2(5) = 2^log2(5^3) = 125   
    b) 3^(1 + log3(4)) = 3^(log3(12)) = 12   
    c) 3^log3(2) = 2   
    d) 8^(1 + log2(3))= 8^log2(6)= 2^log2(216) = 216     

    3) log(E) = 1 + log(a) + 2log(b) - log(c)        
        E = 10a*b²c