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

The framers of the constitution wanted to secure the blessings of (what) for themselfs and their decendents.
I need help learning how to solve this problem please.
welllll, here are the last 2. thankss
Suppose two dice are tossed and the numbers on the upper faces are observed. let s denote the set of all possible pairs that can be observed. [these pairs can b
6 points please help asap
In the constitution where is the right to trial by jury found
Which factors combine to form an authors purpose
A car going 30 meters a second undergoes an acceleration of 2 meters a second squared for 4 seconds. What is its final speed? How far did it travel while it was
What do you think about Eminem's new album release Kamikaze?
Which equation is related to the given equation? column a column b 1. 61 + 18 = z 2. z = 61 – 18 3. –18 = 61 – z 4. 18 = 61 – z a. z + 18 = 61 b. z – 18 = 61?