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

how did martinique gain independence
Calculate the speed of a 3.5cm sound wave of frequency 8000Hz
The traits of populations in the forest ecosystem have changed over time. What caused the traits to change?
you are building a birdhouse that will have a volume of 128 in^3. the birdhouse will have the dimensions shown a. write a polynomial that represents the volume
What Is the Function of Alliteration in Literature?
which state capital is north of 40 degrees north latitude: Frankfort, denver, salt lake city, or columbus?
which state capital is north of 40 degrees north latitude: Frankfort, denver, salt lake city, or columbus?
In a titration, 45.0 mL of KOH is neutralized by 75.0 mL of 0.30M HBr. How much KOH is in 1.0 liter of the KOH solution ?
What Is the Function of Alliteration in Literature?
write the equation in function form.then graph the equation x-3y=-9 ???