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dsp73
3 years ago
15

3 ^ (2x) - 2 ^ (x + 1) * 3 ^ x - 3 * 2 ^ (2x) = 0 .

Mathematics
1 answer:
Xelga [282]3 years ago
4 0

Answer:

log₁.₅3  or  2.70951

Step-by-step explanation:

  • 3^(2x) - 2^(x + 1) * 3^x - 3*2^(2x) = 0
  • 3^(2x)- 2*2^x*3^x + 2^(2x)- 4*2^(2x)=0
  • (3^x-2^x)^2 - (2*2^x)^2=0
  • (3^x-2^x+2*2^x)(3^x - 2^x - 2*2^x)=0
  • (3^x+2^x)(3^x- 3*2^x)=0
  • 3^x+2^x>0 for any value of x
  • 3^x- 3*2^x=0
  • 3^x= 3*2^x
  • 3^x/2^x=3
  • 1.5^x=3
  • x= log₁.₅ 3 = 2.70951

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ehidna [41]
3x - 4 + 1 = -2x - 5 + 5x

First, simplify 3x - 4 + 1 to 3x - 3. / Your problem should look like: 3x - 3 = -3x - 5 + 5x
Second, simplify -2x - 5 + 5x to 3x - 5. / Your problem should look like: 3x - 3 = 3x - 5
Third, cancel 3x on both sides. / Your problem should look like: -3 = -5
Fourth, since -3 = -5 is false, there is no solution.

Answer: No solution

4 0
4 years ago
Read 2 more answers
using compound interest, how long does it take to double a 1000 dollar investment that pays 6.5% annual interest, compounded mon
KonstantinChe [14]

Answer:

11 years approx

Step-by-step explanation:

Given data

P=$1000

A=2000

R=6.5%

T= ?

Calculate time, solve for t

t = ln(A/P) / r

substitute

t=ln(2000/1000)/0.065

t=ln(2)/0.065

t=0.693/0.065

t=10.66

Hence the time is 11 years approx

3 0
3 years ago
Helpppppppppppppppppppppppp
Genrish500 [490]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
The number of households without a computer at home in 2009 was closest to A)801000 B)1153000 C)1737000 D)3433000 E)4017000
bagirrra123 [75]

Answer:

B) 1153000

Step-by-step explanation:

Given

See attachment

Required

Number of households without computer in 2009

From the attachment, we have:

n=5170000 --- survey

p = 22.3\% --- proportion without computer

So, the actual number is:

Number = p * n

Number = 22.3\% * 5170000

Number = 1152910

Number \approx 1153000

<em>Hence: (B) is correct</em>

7 0
3 years ago
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Ostrovityanka [42]

Answer:

x=7

Step-by-step explanation:

7=2x-7

-2x-7-7

-2x=-14

x=-14÷2

x=-7

7 0
1 year ago
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