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
svetoff [14.1K]
3 years ago
8

Please help me with logarithms!

Mathematics
2 answers:
Dmitry [639]3 years ago
3 0

Answer:

x=2ln(2)/(2ln(2)-ln(3))

Step-by-step explanation:

ln(4^x-1)=ln(3^x)

(x-1)ln(4)=ln(3^x)

(x-1)ln(4)=xln(3)

ln(4)x-ln(4)=xln(3)

ln(4)x=ln(3)x+2ln(2)

2ln(2)x-ln(3)x=2ln(2)

(2ln(2)-ln(3))x=2ln(2)

Therefore, x=2ln(2)/(2ln(2)-ln(3))

Liula [17]3 years ago
3 0

Answer:

4.819 =x

Step-by-step explanation:

4^(x-1) = 3^x

Take the log of each side

log (4^(x-1)) = log(3^x)

We know that log a^b = blog a

(x-1)  log 4 = x log (3)

Distribute

x log 4 -log 4 = x log 3

Subtract x log 4 from each side

x log 4 - x log 4 -log 4 = x log 3 - x log 4

- log 4 = x log 3 - x log 4

Factor out -x

- log 4 =- x ( log 4- log 3)

Divide by -1

log 4 = x (log 4 - log 3)

Divide each side by  (log 4 - log 3)

log 4 /  (log 4 - log 3) = x

4.81884167930641800 =x

Round to the nearest thousandth

4.819 =x

You might be interested in
write a slope intercept equation for a line passing through the point (2,-2) that is parallel and perpendicular to the line x=-1
vekshin1

You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:

Parallel: x = 2

Perpendicular: y = -2

In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.

Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.

5 0
2 years ago
SHOW YOUR WORK PLEASE ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
IgorC [24]

Answer:

h = -t+20

After 8 hours the candle will be 12 inches

Step-by-step explanation:

We have 2 points (time, inches)

 (3,17)  and (5,15)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (15-17)/(5-3)

   = -2/2

   = -1

We can use point slope form

y-y1 = m(x-x1)

Replace y with h and x with t

h-17 = -1 (t-3)

Distribute

h-17 = -t+3

Add 17 to each side

h-17+17 = -t+3+17

h = -t+20

After 8 hours

h = -t+20

h = -8+20

h= 12

3 0
3 years ago
Help having trouble understanding which one is trueee.
AlexFokin [52]

Answer:

The value of π = 22/7 = 3.14

So here the Equation given we can examine those

1. 3π -1 > 9

=> (3 * 3.14 ) -1 > 9

=> 9.42 – 1 > 9

=> 8.42 > 9 , which is false

2. 7π > 21

=> (7 * 3.14) > 21

=> 21.98 > 21 , Which is true

3. π + 4 < 7

=> 3.14 + 4 <7

=> 7.14 <7 , Which is false

4. (12/ 4π) > 1

=> {12/ (4 * 3.14)} > 1

=> (12/12.56) > 1

=> 0.955 > 1 , Which is false

Know more about “Mathematical equation ” here: brainly.com/question/116018

#SPJ9

6 0
2 years ago
{x + 8y = -16<br> {x-3y = -5
Anna007 [38]

Answer: y= -1 and x=-8

x+8y=-16

x=-8y-16

so x-3y=-5

-8-16-3y=-5

-11y-16=-5

-11y=-5+16

-11y=11

y=-1

x-3y=-5

x+3=-5

x=-8

8 0
1 year ago
Read 2 more answers
IM MARKING BRAINIEST!!!<br> Please help
brilliants [131]

Answer:

24 ft

Step-by-step explanation:

hmmmmm I'm confused 24ft or 11ft but my answer is 24ft

8 0
3 years ago
Other questions:
  • A circular plate has circumference 17 inches. What is the area of this​ plate?
    12·1 answer
  • Enter the ZEROS of the function below. Select 2 answers: Let f(x) = x2 − 13x + 30 answers:
    7·2 answers
  • 1.ADD (5x4 + 3x3 -x2 +16x)+(2x3 -3x2 -10x4 +x -1)
    9·1 answer
  • what do the following two equations represent? please help 4x+2y= 10 4x-2y= -10 a) the same line b) distance parallel lines c) p
    12·1 answer
  • Question 1(Multiple Choice Worth 1 points)
    13·1 answer
  • 6(4a^2+11)- 13(3a-2a^2)-28 please help quick!!
    13·2 answers
  • I need help please on this math
    14·2 answers
  • A) AAS<br> B)ASA<br> C)not enough information <br> D) SSS
    10·1 answer
  • Simplify the expression:<br> -2(-1 + 2w) =<br> Submit please
    5·1 answer
  • The number of murders and robberies per 100,000 population for a random selection of states is shown.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!