Question

Resolva as seguintes equações logaritmos
a) log(x +4)=3
b) log (X-10) = 1
c) log(2x-3) - Log (4x-5)=0


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Answer 1

a)log(x+4)=3

=x+4=10^3

=x+4=1000

x=1000-4

x=996

b)log(x-10)=1

x-10=10^1

x-10=10

x=10+10

x=20

c)log(2x-3)-log(4x-5)=0

=>log(2x-3)/(4x-5)=0

=>2x-3/4x-5=10^0

=>2x-3/4x-5=1

=>2x-3=4x-5

=>2x-4x=-5+3

=>-2x=-2

=>x=-2/-2

=>1