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Wevertonevinho
@Wevertonevinho
December 2019
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Se log2= M + N e Log3 = 2M - N, determine:
Log20 + 2.log50 - log 30
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ProfRafael
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Log 20 + 2.log 50 - log 30
log 4.5 + 2.log 5.10 - log 3.10
log 4 + log 5 + 2.(log 5 + log 10) - (log 3 + log 10)
log 2² + log 10/2 + 2.(log 10/2 + log 10) - log 3 - log 10
2.log 2 + log 10 - log 2 + 2.(log 10 - log 2 + log 10) - log 3 - log 10
2.(M + N) + 1 - (M + N) + 2.(1 - (M + N) + 1) - (2M - N) - 1
2M + 2N + 1 - M - N + 2 - 2M - 2N + 2 - 2M + N - 1
2M - 2M - 2M + 2N - 2N - N + N - M + 1 - 1 + 2 + 2
-2M - M + 2 + 2
-3M + 4
Resposta: -3M + 4
Espero ter ajudado.
2 votes
Thanks 2
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Log 20 + 2.log 50 - log 30log 4.5 + 2.log 5.10 - log 3.10
log 4 + log 5 + 2.(log 5 + log 10) - (log 3 + log 10)
log 2² + log 10/2 + 2.(log 10/2 + log 10) - log 3 - log 10
2.log 2 + log 10 - log 2 + 2.(log 10 - log 2 + log 10) - log 3 - log 10
2.(M + N) + 1 - (M + N) + 2.(1 - (M + N) + 1) - (2M - N) - 1
2M + 2N + 1 - M - N + 2 - 2M - 2N + 2 - 2M + N - 1
2M - 2M - 2M + 2N - 2N - N + N - M + 1 - 1 + 2 + 2
-2M - M + 2 + 2
-3M + 4
Resposta: -3M + 4
Espero ter ajudado.