Question

log100 0,1 +log253 √5 – logva 2
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Answer 1

Resposta:

-7/3

Explicação passo-a-passo:

log₁₀₀0,1 =x

100ˣ=0,1

10²ˣ=1/10

10²ˣ=10⁻¹

2x= -1

x= -1/2

log₂₅∛5 =y

25^y=5^(1/3)

5^2y=5^(1/3)

2y=1/3

y=1/6

log√₂2=z

√2^z=2

2^(z/2)=2^1

z/2=1

z=2

log₁₀₀0,1 +log₂₅∛5 -log√₂2=

-1/2+1/6-2=

(-3+1-12)/6

-14/6=

-7/3