Question

Resolva as questões a seguir, usando estes valores de logs:
{log 2 =0,301} {log 3= 0,477} {log 5=0,699}

a) 4x=log \frac{5}{2} na base 10

b) 2x=log 6^{3} na base 10

c) x= log \sqrt{2} na base 10

Answer 1

{log 2 =0,301} {log 3= 0,477} {log 5=0,699} 

a) 4x=log 5/2=> 4x = log5 - log2=> 4x =0,699 - 0,301=>4x = 0,398==>0,0995
              10
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b) 2x=log 6^3=> 2x = 3log(2.3)=> 2x=3(log2 + log3) ==> 2x= 3(0,301+0,477) 

2x= 3(0,301+0,477) ==> 2x = 0,778 ==> x =  0,389
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c) x= log V2 ==> x = log2^1/2 ==> x =1log2 ==>x = 1(0,301) ==> x= 0,1505
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