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
balu736 [363]
3 years ago
13

How do you solve this equation?

Mathematics
1 answer:
Travka [436]3 years ago
7 0
Exponentail thingies

easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0

now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero

5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1


5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4

x=log₅1 and/or log₅4







second quesiton

same thing

1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero

2^x-8=9
2^x=8
x=3

2^x-2=0
2^x=2
x=1

x=3 or 1







first one
x=log₅1 and/or log₅4
second one
x=1 and/or 3


You might be interested in
This rectangle has 9 straight Lines and 14 squares.<br><br> Can you find them?
juin [17]

Answer:two dimensional shapes

Step-by-step explanation:

7 0
3 years ago
Two trains are traveling at a constant rate. Which train has the greater speed?
natali 33 [55]
A point on the graph (for train b) that is exact is (2,250). From the origin, the rise is 250 and the run is 2. Rise/run would give us 250/2, which is 125. This means that train B travels 125mi every hour. For train A, we subtract the distance from hour 2 from hour 3 to get the miles per hour (because 3-2=1, subtracting the distance of hour 3 from 2 will give us the distance in 1 hour). 180-120= 60, meaning train A travels at 60mph. 60<125, meaning A
3 0
2 years ago
There was a 6 square foot piece of wrapping paper for a birthday present
TiliK225 [7]

where's the rest of question so I can help?

5 0
3 years ago
Read 2 more answers
If f(t)=3t^2+11 find f(7)
tamaranim1 [39]

Answer:

f(7) = 158

Step-by-step explanation:

To evaluate f(7) substitute t = 7 into f(t)

f(7) = 3(7)² + 11 = (3 × 49) + 11 = 147 + 11 = 158

6 0
3 years ago
Read 2 more answers
If z=sprt5 -sprt2, then Izl=​
ASHA 777 [7]

Answer:

3

is the answer

because sprt - sprt = 0

then 5-2=3

3 0
3 years ago
Other questions:
  • What is the missing leg length?<br> 10<br> 6
    9·1 answer
  • I need help with slope
    8·2 answers
  • In a class there are 30 boys and 10 girls. The ratio of boys to girls is
    7·2 answers
  • Triangle ABC is right angled at A. if AB is 20 cm and AC is 15 cm then find length of BC
    8·1 answer
  • Which measure of central tendency is least appropriate for describing the given data set?. 6, 6, 6, 7, 8, 8, 29. . a. mode. b. m
    13·1 answer
  • How many white marbles are there?
    7·1 answer
  • Please help and number the questions<br> Giving 50 points please solve it<br> And I won’t report
    15·1 answer
  • Question 5 (1 point)
    12·2 answers
  • I’m not sure how to solve, what do I need to do??
    14·1 answer
  • Which situations described can be modeled by an exponential function?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!