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
GenaCL600 [577]
3 years ago
11

%5E%7Bx%7D%20%7D%20%20-%20%20%20%5Csqrt%7B%20%7B9%7D%5E%7Bx%20%7D%20%7D%20" id="TexFormula1" title=" {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } " alt=" {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

x = 0

Step-by-step explanation:

{2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\  \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\  \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\  \\ {2}^{x} -  \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\  \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\  \\  {( {2}^{x} )}^{2}  =  {(\sqrt{ {6}^{x} })}^{2}  \\  \\  {2}^{2x}  =  {6}^{x}  \\  \\   {2}^{2x}  =  {(2 \times 3)}^{x}  \\  \\   {2}^{2x}  =  {2 ^{x}  \times 3}^{x}  \\  \\  \frac{ {2}^{2x}  }{ {2}^{x}  } =  3^{x}  \\  \\   {2}^{2x - x}  =  {3}^{x}  \\  \\  {2}^{x}  =  {3}^{x}  \\  \\   \frac{ {2}^{x} }{ {3}^{x} }  = 1 \\  \\  \bigg(  \frac{2}{3} \bigg)^{x}  = 1 \\  \\  \implies \: x = 0 \\  \\  \because \: for \: x = 0 \\  \\ \bigg(  \frac{2}{3} \bigg)^{0}  = 1

You might be interested in
Hi! I need help! Thankyou
andrey2020 [161]
For Number 48. Your Number Will Be Letter B

For Number 49. Your Number Will Be Letter B As Well
6 0
3 years ago
Find the slope of a line passing though the given points (1,4) (3,2)
kifflom [539]
I believe the slope is -1
4 0
3 years ago
Six more than eight times a number equals thirty. what is that number?
kkurt [141]
6 + 8x = 30
Problem written out
8x = 24
Subtracted 6 to get 8x alone
x = 3
Divided 8 to get your answer!
5 0
3 years ago
Read 2 more answers
Can someone please help me ASAP :)
jeyben [28]
Did this a couple years ago, im kinda lost xD . sorry
4 0
3 years ago
I am giving away my points bc I don't like this website
LiRa [457]
Thanks !!!!!!!!!!!!!
4 0
3 years ago
Other questions:
  • kevin and his father have collected1,456 different coinsover the years.They have a coin album that holds 30 coinson a page. If t
    8·2 answers
  • The sum of two numbers is 8, and their difference is 22
    9·1 answer
  • Please help me ASAP: Answer with : includes / not includes
    8·1 answer
  • What’s the correct answer?
    10·1 answer
  • Which of the following is equivalent to the expression (m+3)^4
    5·2 answers
  • There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFra
    12·2 answers
  • Points A, B, C are collinear. Points B is between A and C. Find the length indicated.
    10·1 answer
  • 10 added to the difference between t and 8
    14·1 answer
  • What is 15 percent 0f 75
    10·2 answers
  • A horse gallops 16 miles in 2 hours. How many hours would it take the horse to gallop 40 miles?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!