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
Vlad [161]
2 years ago
15

3.3^(2x+1)-103^x+1=0 need value of x

Mathematics
1 answer:
photoshop1234 [79]2 years ago
4 0

Answer:

The value of x is approximately -1.531.

Step-by-step explanation:

Let 3.3^{2\cdot x + 1}-103^{x+1} = 0, we proceed to solve this expression by algebraic means:

1) 3.3^{2\cdot x + 1}-103^{x+1} = 0  Given

2) 3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0 a^{b}\cdot a^{c} = a^{b+c}

3) (3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0 (a^{b})^{c} = a^{b\cdot c}

4) (3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0 (a^{b})^{c} = a^{b\cdot c}/Commutative property

5) \left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0 Existence of multiplicative inverse/Definition of division/Modulative property/a^{b}\cdot a^{c} = a^{b+c}

6) \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3} Existence of additive inverse/Modulative property/(a^{b})^{c} = a^{b\cdot c}

7) \log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3} Definition of logarithm.

8) 2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}     \log_{b} a^{c} = c\cdot \log_{b} a

9) 2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3      \log_{b} \frac{a}{d}

10) x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3     \log_{b} a^{c} = c\cdot \log_{b} a/Associative property

11) x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}   Existence of multiplicative inverse/Definition of division/Modulative property

12) x \approx -1.531  Result

The value of x is approximately -1.531.

You might be interested in
Fill in the missing digits to complete the patern 5, 62, 2, 2
hichkok12 [17]
165414618182551iqiqiqii
5 0
3 years ago
A 4-person relay team ran a race in 48 seconds. What was the<br> average time for each person?
lakkis [162]

Answer:12 secondes

Step-by-step explanation:48 seconds/ 4 people= 12 second

4 0
3 years ago
Read 2 more answers
4 2/3 divided by 1/2
dimulka [17.4K]

Answer:

9.33333333333

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Maria wants to buy a new phone researching realized that the best price and 147.86 US dollars at the time of purchase it still a
ella [17]

Answer:

0.6763154335

Step-by-step explanation:

because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.

7 0
3 years ago
Which numbers are equivalent to 25%
allsm [11]

Answer:

.25

1/4

are the numbers equivalent to 25%

5 0
3 years ago
Other questions:
  • Please help! 
    14·1 answer
  • 1 litre take 375 millilitres how many millilitres left
    14·2 answers
  • Mt Whitney is 4392m at its highest point. Bombay Beach, California, is 86 m below sea level (-86). What is the difference betwee
    14·1 answer
  • 7/6 as a mixed fraction
    5·1 answer
  • What does point A represent in this box plot?
    10·1 answer
  • What type of number is -16.2i
    12·2 answers
  • Can someone verify if this is correct
    5·2 answers
  • How do you answer a question on Brainly? Thank you so much !
    5·2 answers
  • Answer question below <br> answer question below
    6·1 answer
  • The perimeter of a triangle is 53 in. The shortest side is 10 in. less than the longest side. The middle side is 19 in. less tha
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!