Question

Qual o valor do log 50 na base 10+log 25 na base 10+log 128 na base 10=??????

Answer 1

Resposta:

log₁₀ 50 +log₁₀ 25+log₁₀ 128

= log 2*5²  + log 5² + log 2⁷

=log 2 + log 5² + 2*log 5 + 7 log 2

=log 2 +2* log 5 + 2*log 5 + 7 log 2

=log 2 +4 * log 5  + 7 log 2

=4 * log 5  + 8 * log 2

*****log 5 =log 10/2 = log 10 -log 2 =1 -log 2

*****log 5 =1-log 2

=4 * (1-log 2)  + 8 * log 2

= 4 -4*log 2 +8*log 2

= 4 +4*log 2  é a resposta