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
Tatiana [17]
3 years ago
7

For what value of x does 3^2x=9^3x-4

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0
ANSWER

The value of x for which
{3}^{2x}  =  {9}^{3x - 4}
is
x = 2


EXPLANATION

The given equation is
{3}^{2x}  =  {9}^{3x - 4} .
This is an indicial equation or an exponential equation in x.


We can see that, this time, the variable is in the numerator.


So we need to express both sides of the equation to the same base to obtain,


{3}^{2x}  =  { 3 }^{2(3x - 4)}


Since the base are the same, we can now equate the exponents to get,



2x = 2(3x - 4)


When we divide both sides of the equation by 2, we obtain,


x = 3x - 4


We now group like terms to obtain,


x - 3x =   - 4


We simplify the left hand side to get,


- 2x =  - 4


We finally divide through by negative 2 to obtain,

x = 2
Therefore the correct answer is B.
jek_recluse [69]3 years ago
4 0
The answer is x=2. Hope this helps!!!
You might be interested in
I need to have this done by tonight and I don’t know what to put
a_sh-v [17]

Answer:

A. Option 1

Sign up cost = 0

1 Month = 125

2 Months = 150

3 Months = 175

4 Months = 200

Step-by-step explanation:

For every option simply write what the starting cost is in the top box for every option. Then multiply the monthly cost by how many months for each box and then add the starting cost. The result of the multiplication and addition will be what you put in each box.

5 0
2 years ago
Answer quick please!
Mashcka [7]

B because B is the answer

7 0
2 years ago
You get your hair done for $56.00 and you tip the hairdresser 20%. How much is your tip? 
suter [353]

You get your hair done for $56.00 and you tip the hairdresser $20.00(D)

You have to subtract 56 from 20% than round the answer to the neared tenth.

7 0
2 years ago
I don’t know what the last one is
joja [24]

But its still not that much info what is the answers for it if there is no answer

How are you finding what does x equal

8 0
3 years ago
Read 2 more answers
Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fall on any day o
faust18 [17]

Answer:

Follows are the solution to the given question:

Step-by-step explanation:

They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.

S=365^n

This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.

P(x)=\frac{1}{365^{n}}

if x is between 1 and 365 as well as the occurrence is just all similarly possible

In point i:

That somebody mentions their birthday throughout the party

Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.

In point ii:

Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.

In point iii:

Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.

6 0
2 years ago
Other questions:
  • and to my sneakers but a total of 305.43 dollars on the groceries.She spent 213.20 in first month.How much did she spend in the
    11·1 answer
  • Simplify 16-4 [3+2÷(9-7)
    11·2 answers
  • Suppose f(x)=x^2 and g(x)= 4x^2.Which statement best compares the graph of g(x) with the graph of f(x)?
    14·1 answer
  • Which expression is equivalent to 32 why?
    9·1 answer
  • the diameter of a wheel is 15in how far will your hand move in one full turn if you do not move your hand
    14·1 answer
  • A student wants to report on the number of books her friends read each week. The collected data are below: 0 24 1 4 5 2 5 4 Whic
    13·2 answers
  • A bushel had a total of 68 apples. 25% of the apples were green and the rest of the apples were red. How many more red apples we
    6·2 answers
  • Find the value of 3^-3 x 10^-3
    8·1 answer
  • Rosetta drove her car 160 miles in 2 hours. Which of the following correctly expresses her rate as a ratio?
    9·2 answers
  • Slices of pizza are sold for $1.50 each. A pizza has x slices. Buying an entire pizza costs $12
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!