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slava [35]
3 years ago
5

What is the value of x in the equation log(x+2) - log(x-1) = log 2​

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Step-by-step explanation:

log(x+2)-log(x-1)=log2

log(x+2)/(x-1)=log2

=> (x+2)=2(x-1)

=>x+2 =2x-2

=> x=4

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Exponential growth can anyone give the answers to me? I’m completely lost!
PilotLPTM [1.2K]

Answer:

Q1

<u>The exponential growth model for frogs:</u>

  • F(x) = 100(1.22)ˣ,

F- number of frogs, x- number of years, 1.22 - growth factor

<u>Calculations</u>:

  • F(5) = 100(1.22)⁵ = 270
  • a) F(10) = 100(1.22)¹⁰ = 730
  • b) F(20) = 100(1.22)²⁰ = 5335  

<em>All numbers rounded </em>

Q2

<u>The exponential growth model for bacteria:</u>

  • B(x) = 10(1.8)ˣ

B- number of bacteria, x- number of hours, 1.8 - growth factor

<u>Calculations:</u>

  • a) B(5) = 10(1.8)⁵ = 189
  • b) B(24) = 10(1.8)²⁴ = 13382588
  • c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³

<em>All numbers rounded </em>

Q3.

<u>The exponential growth model for fish:</u>

  • F(x) = 821(1.02)ˣ,

F- number of fish, x- number of months, 1.02 - growth factor

<u>Calculations:</u>

  • a) F(12) = 821(1.02)¹² = 1041
  • b) F(120) = 821(1.02)¹²⁰ = 8838

<em>All numbers rounded </em>

3 0
2 years ago
Read 2 more answers
The population of Farmersville can be modeled by the inequality y &gt; 2,000x + 2,100, where x is the number of years since 2010
Kaylis [27]

Answer:

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

Step-by-step explanation:

Inequality for the population of Farmsville:

The inequality for the population of Farmsville in x years after 2010 is given by:

y(x) > 2000x + 2100

Will the population of Farmersville be greater than 6,300 in 2012?

2012 is 2012-2010 = 2 years after 2010, so we have to find y(2).

y(2) > 2000(2) + 2100

y(2) > 6100

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

3 0
3 years ago
What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west, and then 2 blocks south?
aniked [119]

Answer:

two blocks east

Step-by-step explanation:

the north and south cancel out and then 3 blocks east - 1 block west = 2 blocks east

3 0
2 years ago
Is 20:14 and 80:56 ratios are equivalent
iogann1982 [59]

Answer:

yes

Step-by-step explanation:

80 ÷ 20 = 4

56 ÷ 14 = 4

yes they are equivalent

8 0
2 years ago
Solve for X <br><br> PLEASEEEEE HELPPPPP
vovangra [49]

Answer:

theta  =36.45268177

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos theta = 74/92

Taking the inverse cos of each side

cos^-1 ( cos theta) = cos^-1 (74/92)

theta  =36.45268177

8 0
2 years ago
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