Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{log\:2 = 0,30}[/tex][tex]\mathsf{log\:3 = 0,48}[/tex]
[tex]\mathsf{log\:7 = 0,85}[/tex]
[tex]\mathsf{log\:11 = 1,04}[/tex]
[tex]\mathsf{log\:198 = log\:2.3^2.11}[/tex]
[tex]\mathsf{log\:198 = log\:2 + 2\:log\:3 + log\:11}[/tex]
[tex]\mathsf{log\:198 = 0,30 + 2(0,48) + 1,04}[/tex]
[tex]\mathsf{log\:198 = 0,30 + 0,96 + 1,04}[/tex]
[tex]\boxed{\boxed{\mathsf{log\:198 = 2,3}}}\leftarrow\textsf{letra A}[/tex]
log 198 =log 2*99 =log 2*3²*11
=log 2 + log 3² + log 11
=log 2 + 2*log 3 + log 11
=0,3 + 2*0,48 + 1,04
= 2,3
Letra A
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Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{log\:2 = 0,30}[/tex]
[tex]\mathsf{log\:3 = 0,48}[/tex]
[tex]\mathsf{log\:7 = 0,85}[/tex]
[tex]\mathsf{log\:11 = 1,04}[/tex]
[tex]\mathsf{log\:198 = log\:2.3^2.11}[/tex]
[tex]\mathsf{log\:198 = log\:2 + 2\:log\:3 + log\:11}[/tex]
[tex]\mathsf{log\:198 = 0,30 + 2(0,48) + 1,04}[/tex]
[tex]\mathsf{log\:198 = 0,30 + 0,96 + 1,04}[/tex]
[tex]\boxed{\boxed{\mathsf{log\:198 = 2,3}}}\leftarrow\textsf{letra A}[/tex]
Resposta:
log 198 =log 2*99 =log 2*3²*11
=log 2 + log 3² + log 11
=log 2 + 2*log 3 + log 11
=0,3 + 2*0,48 + 1,04
= 2,3
Letra A