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
gulaghasi [49]
3 years ago
12

What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.

Mathematics
1 answer:
sammy [17]3 years ago
4 0

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

You might be interested in
Wyatt is flying a kite in the park. The kite is a horizontal distance of 24 feet from Wyatt's position and a vertical distance o
Paraphin [41]
If you are asking how long the string is or the hypotenuse it would be about 75.89466
3 0
3 years ago
without looking not picking a red hat from a box that holds 20 red hats, 30 blue hats, 15 green hats, and 25 white hats
PolarNik [594]
There are 90 hats all together. from just red the fraction is 20/90. 20 divide by 90 = .22
there is a 22% chance.
5 0
3 years ago
If, in 7 years, Susan will be 2 times as old as she was 3 years ago, what is Susan’s present age? PLEAZE EXPLAIN HOW AND DO IT W
belka [17]
Let Susan's present age be x

Now, after 7 years ( her age will become 7 +x then) she'll be 2 as old she was 3 years ago.

Her age 3 years ago must be x-3

Now according to question,

twice Her age 3 years ago = her age after 7 years

now,

2(x-3) = 7+x
2x-6 = 7+x
2x-x =7+6
x = 13
x = 13



Therefore, her age presenr age is 13 years.
5 0
3 years ago
Read 2 more answers
Solve these equations. show on a number line. |x-3|=0
Murrr4er [49]

Answer:

x = 3

Step-by-step explanation:

7 0
3 years ago
Write the quadratic equation in standard form and then choose the value of "b." (2x - 1)(x + 6) = 0
Eddi Din [679]

ANSWER

b=11

EXPLANATION

The given quadratic equation is

(2x - 1)(x + 6) = 0

We expand to get:

2 {x}^{2}  + 12x - x - 6 = 0

We simplify further by combining the x terms.

2 {x}^{2}  + 11x - 6 = 0

This is the standard form.

Comparing to

a{x}^{2}  + bx  + c= 0

We have b=11

4 0
3 years ago
Other questions:
  • What is the slope of the line that contains points (2,3) and (2,-4)
    10·2 answers
  • College Board
    13·1 answer
  • Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
    5·1 answer
  • What is the value of x? ​
    14·2 answers
  • the cost of 5kg of potatoes is 3.60£ the cost of 1/2 kg of carrots is 31p. Work out the cost of 13kg of potatoes and 21/2 of car
    9·1 answer
  • HURRY PICTURE INCLUDED
    13·1 answer
  • What is 7/8+3/4 I need help
    6·1 answer
  • Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
    9·1 answer
  • Find the area of the trapezoid 3cm 3cm 4cm 1cm
    13·1 answer
  • The weather person said that the temperature was "seventeen degrees below zero.How should this number be written?A. -170 В.017OC
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!