ximenafex ximenafex
  • 02-12-2016
  • Mathematics
contestada

How do you solve logarithmic equations such as log(2x)= -1 or 3log(2)+log(x)= 3?

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 02-12-2016
remember some simle log rules
loga+logb=log(ab)
xloga=loga^x
[tex]log_ax=y[/tex] means [tex]a^y=x[/tex]
also, if no base is stated, assume base 10

so

log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x



3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
Answer Link

Otras preguntas

Where can you find negative integers, fractions, and/or decimals in real-world settings?
How many minivans would pass Luann if 60 vehicles passed her
He was diagnosed as ____ when he still had difficulty reading in the fifth grade
What does he lac Operon in bacteria code for
According to the riddle of the rosetta stone, what detail helped scholars determine that the second egyptian inscription was a simpler form of egyptian writing
Why is it important to Grendel that his death be viewed as an accident?
Through: (2,-3). Slope = -5/2
What significance did the deaths in lord of the fly's have
What was the connection between mount Olympus and Olympia
how did progressives believe that the reformers they proposed to municipal government would improve Society