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

May I please receive help on this question
Look at the subtraction expression: 7-8 Which of these addition expressions is equivalent to the subtraction expression above? Choose all that apply. -[-7+8) 0-
Wen was hiking on a 12-mile route. During the first 2 hours, his hiking speed was 3 mph. During the rest of the hike, his speed was 2 mph. How long did the enti
I Will Give you the brainiest if you answer all :) PLs help Subject: Health
Why were Americans angered over Asian immigration?
What’s in a equation or Leniar function y axis 1 and negative 7 and x axis negative 3 and 1
if 8 is an x intercept what is f(8)
What are two types of spacing effect in psychology ?
Describe how the data shows that world population growth has been exponential.​
Each craft box has 8 crayons. Which equation represents the relationship between the total number of craft boxes, b, and the total number of crayons, c?A. b = c