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
liubo4ka [24]
3 years ago
6

-3^(-x)-6=-3^x+10Solve the equation below for x by graphing plz

Mathematics
2 answers:
vitfil [10]3 years ago
8 0
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
then
\frac{ln(8+\sqrt{65})}{ln(3)}=x

nordsb [41]3 years ago
5 0

Answer:

x = 2.527

Step-by-step explanation:

We have to solve the equation -3^{-x}-6=-3^x+10 by graphing method.

In order to solve this equation from graphing method, we graph the below two equations in the same coordinate axes.

y=-3^{-x}-6...(i)\\\\y=-3^x+10...(ii)

The x -coordinate of the intersection point of these two graphs would be the solution of the equation.

Please see the attached graph.

The x-coordinate of the intersection point is 2.527.

Hence, the solution to the given equation is x = 2.527

You might be interested in
I really need help with this<br> "Simplify this equation."
Tju [1.3M]

Answer:

2nd one

Step-by-step explanation:

3 0
3 years ago
What is the simplified form of 10,000x^64
rusak2 [61]
Answer: 100x<span>³²

Hope it helps
Brainliest? </span>
6 0
3 years ago
Read 2 more answers
If a Tyrannosaurus rex ate 3 dinosaurs each week, how many would he eat in 9 weeks?
Dafna11 [192]

Answer:

27

Step-by-step explanation:

3/1=x/9

cross multiply, or its just a ratio actually. 1:3 is equal to 9:27

8 0
3 years ago
If c – 8 is an odd integer, which of the following could be the value of c?
bazaltina [42]
The value of c could be any odd integer because and odd integer subtracted by an even integer is an odd integer.
4 0
3 years ago
How many factors are in 6xy
muminat
Factors are what is being multiplied or divided. In this problem, you have 6 times X times Y. So, you have 3 factors. 
6 0
3 years ago
Other questions:
  • Help me quickly, please!
    6·1 answer
  • Whats the decimal and fraction for 10%
    8·1 answer
  • A 3 digit number whose ones digit is three times its hundreds digit &amp; whose tens digit is twice its hundred digit. What is t
    12·1 answer
  • If you are investing money, would you rather deposit into an account that earns simple interest or compound interest?
    14·2 answers
  • Kate asked some friends how many movies they saw last winter. Use her data in the table below for your
    12·1 answer
  • What is 7 over 8k =35
    9·1 answer
  • There are 14 girls and 12 boys in a class. What is the ratio of girls to students? Simplify your answer
    7·1 answer
  • miley cyrus wants to get a 90 score on a 30 question test. how many questions do you need to get right in order to get a 90% sco
    15·1 answer
  • What is 8x9-6+7(5-4x8)
    7·1 answer
  • Lakelyn has $2,500.00 to invest in a savings account. Savings account 1 earns 4% simple interest and savings account 2 earns 4%
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!