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
White raven [17]
3 years ago
6

Demonstrate two different ways to solve the equation 5^(2x+1) = 25.

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Method 1: Taking the log of both sides...

So take the log of both sides...

5^(2x + 1) = 25

log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...

(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...

(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...

(2x)log 5 + log 5 - log 5 = log 25 - log 5

(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)

(2x)log 5 = log 5 <-- divide both sides by log 5

(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..

2x = 1

x=1/2

Method 2

5^(2x+1)=5^2

2x+1=2

2x=1

x=1/2

You might be interested in
The sum of the roots of the quadratic 5x^2 - 6x + 1 = 0 is
MatroZZZ [7]

Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

8 0
3 years ago
How many different ways can the first twelve letters of the alphabet be arranged?
Vika [28.1K]
So there are 12 spaces right. In first blank u have a choice to fill any of the alphabet .(first twelve alphabets) <span>and it goes down to just 1 letter in the last space. but do i just multiply them.

hope dis helps</span>
4 0
3 years ago
Read 2 more answers
There are 20 20 coins in a jar. Each coin is either a nickel or a quarter. If one of the coins is selected at random, the probab
sveta [45]

Answer: there are 8 quarters in the jar

Step-by-step explanation:

Let x represent the number of nickels that is inside the jar.

The total number of coins inside the jar is 20.

Probability is expressed as

Number of possible or favorable outcomes/total number of outcomes.

The probability of selecting a nickel is 0.6. This is expressed as

0.6 = x/20

Cross multiplying, it becomes

x = 20 × 0.6

x = 12

Since there are 12 nickels inside the jar, then the number of quarters would be

20 - 12 = 8

3 0
3 years ago
Find sin A.16/12, b.16/20, c.12/20, d. 12/16, I will give branliest!!!, pls help!
RUDIKE [14]

Answer:

B) 16/20

Step-by-step explanation:

sin∅=opposite/hypotenuse

sin∅=16/20

Therefore, your answer is B.

8 0
3 years ago
Read 2 more answers
Round 3897.24 to the nearest thousand​
postnew [5]

Answer:3897

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • To prepare for a presentation, pete colored 1/2 of the poster and rebecca colored 1/3 of the poster, what fraction still needs t
    13·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.
    5·1 answer
  • 2x - 1 = 7 I need help with this equation
    11·2 answers
  • Please Help I Will Give Brainliest!
    8·2 answers
  • What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (4 points)
    5·1 answer
  • 1. The radius equals<br> units<br> 2. The diameter equals<br> units
    14·1 answer
  • 8. You have 51 coins made up of dimes
    15·1 answer
  • The product of x and 5
    8·1 answer
  • PLEASE HELP ME! THANK YOU!!
    10·1 answer
  • Round to the nearest hundredth O(5x + 2) = 2(9x - 6) Type your answer...​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!