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
daser333 [38]
3 years ago
11

5^x + 5^x+1= 150 Find x Help me pls i need soon Tksss

Mathematics
1 answer:
raketka [301]3 years ago
5 0

Answer:

x=2

Step-by-step explanation:

So we have the equation:

5^x+5^{x+1}=150

First, separate the second term:

5^x+(5\cdot5^x)=150

Let u equal 5ˣ. So:

u+5u=150

Combine like terms:

6u=150

Divide both sides by 6:

u=25

Substitute back u:

5^x=25

Take the base 5 logarithm of both sides:

\log_5(5^x)=\log_5(25)

The left cancels:

x=\log_5(25)

Evaluate the right:

x=2

So, our answer is 2.

And we're done!

You might be interested in
Which situation could be represented by the graph?
Nady [450]
Linear functions parabola mostly things in algebra
4 0
3 years ago
Please answer this question
SVEN [57.7K]

Answer:

The average rate is 35 miles per hour

Step-by-step explanation:

To get from town A to town B takes 3 hours.  The distance is 100 miles


To get from town B to  town c takes 1 hours.  The distance is 40 miles

To find the average rate , we need to find the total distance and divide by the total time

Total distance = 100 + 40 = 140 miles

Total time = 3 hrs + 1 hr = 4 hours

distance = rate * time

140 miles = rate * 4 hours

140/4 = rate

35 = rate

The average rate is 35 miles per hour

7 0
3 years ago
How many grams are in 15 kilograms? 1.5 150 1,500 15,000
diamong [38]
15000 because 15kg x 1000 = 15000g
8 0
2 years ago
Read 2 more answers
Factorise 3(x-y)^2 - 2(x-y)
a_sh-v [17]

Answer:

4xy

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Food costs are expected to rise 6% each month for the next year. Which series correctly depicts the cost (to the nearest cent) f
alexira [117]
For this case we have the following equation:
 y = 150 * (1.06) ^ t
 For the first month we have:
 y = 150 * (1.06) ^ 1
 y = 159 $
 For the second month we have:
 y = 150 * (1.06) ^ 2
 y = 168.54 $
 For the third month we have:
 y = 150 * (1.06) ^ 1
 y = 178.65 $
 Answer:
 
d. $ 159.00 + $ 168.54 + $ 178.65
4 0
3 years ago
Read 2 more answers
Other questions:
  • When representing a frequency distribution with a bar graph, which of these
    15·1 answer
  • If the boundary lines of two half planes are parallel, then they have no solution area.
    11·1 answer
  • the point B(-3, -2) is translated 4 units left. what are the coordinates of the resulting point, B’?
    8·1 answer
  • What does it mean for there to be a linear relationship between variables?
    6·2 answers
  • I really need help with the question someone give me the answer please
    11·2 answers
  • Does anyone know this?
    8·2 answers
  • christine and kaylani are using ribbon to decorate a project in their art class. the ratio of the length of christine's ribbon t
    15·1 answer
  • Helpppppooppppppppppp
    5·2 answers
  • Yasmine worked on HW when she got home.
    11·1 answer
  • PLEASE ANSWER I NEED ITTY
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!