1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
3 years ago
12

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

x=\frac{6e^3}{e^3-1}

Step-by-step explanation:

ln x - ln(x - 6) = 3

Apply natural log property

ln mn=ln m + ln(n), ln(m/n)=ln(m)-ln(n)

ln x - ln(x - 6) = 3

ln(\frac{x}{x-6} )=3

All natural log has base 'e'

\frac{x}{x-6} =e^3

cross multiply

x=e^3(x-6)

x=e^3x-6e^3

add 6e^3 on both sides and -x on both sides

6e^3=e^3x-x

6e^3=x(e^3-1)

Divide e^3-1 on both sides

x=\frac{6e^3}{e^3-1}

You might be interested in
Which points are possible approximations for this system? Select two options. (1.9, 2.5) (2.2, –1.4) (2.2, –1.35) (1.9, 2,2) (1.
Rudiy27

Answer:

second: (2.2,-1.4)

third: (2.2,-1.35)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
X + 34 = 60 what does "x" equal??
ddd [48]
Hey there!

60 - 34 = 26

x = 26

Hope this helps
Have. great day (:
7 0
3 years ago
Read 2 more answers
A piece of string is 325 centimeters long. You need the string to be 114 meters long. How many centimeters should you cut off?
anygoal [31]
You should cut off 211cm
3 0
3 years ago
3281*323/190132=? *9218919/21321`13` Point giveaway :( for poor guys
lisabon 2012 [21]

Answer: Thanks bro

Step-by-step explanation:

Dino nuggies!

7 0
2 years ago
Read 2 more answers
564000 in scientific notation
Mkey [24]

Answer:

5.64 × 10^5

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • 4x + 3y - 8z<br> -5x + 7y + 10Z<br> (+) - 4x – 3y - 8z
    5·1 answer
  • Answer soon please!! I think I started this correctly so if it’s wrong please tell me and what should I do from this point on?
    5·1 answer
  • Given that the length of the figure below is x + 2, its width is
    12·1 answer
  • Janice had litre of cooking oil. She used tof it for frying wedges for a party. What
    11·2 answers
  • The price of 4 donuts and 2 croissants is $10. The price of 2 donuts and 3 croissants is $9. How much does 1 donut and 1 croissa
    9·1 answer
  • What are the zeros for y = x squared - 4
    12·1 answer
  • The radius of a circle measures 9 inches what is the measure of the diameter
    10·1 answer
  • A
    13·2 answers
  • Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
    5·1 answer
  • Hurrrryy i neeed hellp The Egyptians needed to know the _________ of everyone’s land so they could determine the amount of taxes
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!