MATHEMATICS HIGH SCHOOL

What is the solution to the equation 9^(x - 2) = 27 ? x = 2.5/ x = 0.5/ x = -0.5 /x = 3.5

Answers

Answer 1

Answer:

Answer:

x=3.5

Step-by-step explanation:

$9^(x - 2) = 27$

To solve for x , we need to make same base on both sides

9 can be written as 3^2

27 can be written as 3^3

$9^(x - 2) = 27$

[tex[](3^2)^{x - 2} = 3^3[/tex]

multiply the inside exponent with inside exponent

$3^(2(x-2))= 3^3$

Both sides have same base 3

so we equation the exponents

$2(x-2)= 3$

$2x-4= 3$

add 4 on both sides

$2x=7$

divide by 2 on both sides

$x=(7)/(2) =3.5$

Answer 2

Answer: To solve this question rewrite 27 as 3 to power 3. And 9 as 3 to power 2. Then distribute 2 in 3 to the power of 2 to the expression of (X-2). Cancel out 3 base at the end. Then set the equation 2x-4=3. Solving for X gives me 7/2 or 3.5.

Related Questions

What values complete each statement?Enter your answers in the boxes.(7√)^2 = _____in simplest form.By the Power of a Power rule, (712)2=722 .So, 712 must equal______ in radical form.
A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??
An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)
Which equation is the rule for the pattern in the table?
Please help with this()

What is the value of the digit 6 in 968,743,220 ?

Answers

The value of the 6 is 60,000,000 because the 6 is in the 10,000,000 place of value.

Joseph drove for hours at the speed of 40 km per hours he changed his speed to 65 km for the next 2 hours how far had Joseph driven in km

Answers

Answer:

The answer to your question is 450 km

Step-by-step explanation:

Data

First stage Second stage

speed 1 = 40 km/h speed 2 = 65 km/h

time 1 = 8 h time 2 = 2 h

Process

1.- Write the formula to calculate the speed

speed = distance / time

-Solve for distance

distance = speed x time

2.- Calculate the distance of the first stage

distance 1 = 40 x 8

distance 1 = 320 km

3.- Calculate the distance of the second stage

distance 2 = 65 x 2

distance 2 = 130 km

4.- Calculate the total distance

Total distance = 320 + 130

= 450 km

I’d go with the answer from the top it seems reliable

Which is longer ; 180 seconds or 3 minutes?

Answers

Both 180 seconds or 3 minutes are equal.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

We have two times,

180 seconds and 3 minutes.

180 seconds in minutes,

= 180/60

= 3 minutes.

Therefore, both are the same.

To learn more about the division;

brainly.com/question/13263114

#SPJ2

how you find the answer is you divide 60 into 180 and you get 3 which means 3 minutes so their both the same

A dependent system of equation is a system witha. same lines
b.parallel lines
c. intersecting lines and lines that have the same equation
d.intersecting lines and lines that have the same slope.

Answers

Answer: a. same lines

A dependent system of equation is a system with the same lines. It this case, it appears to have only one line when in fact it is made up of a line that is drawn twice. These two lines intersect in every point through the entire length.

Which equation does not have the same solution as the others?x/4 = 2,
x - 9 = 17,
x + 12 = 20,
2x = 16.

Answers

If you would like to know which equation doesn't have the same solution as the others, you can calculate this using the following steps:

x/4 = 2 ... x = 4 * 2 = 8

x - 9 = 17 ... x = 17 + 9 = 26

x + 12 = 20 ... x = 20 - 12 = 8

2 * x = 16 ... x = 16/2 = 8

The correct result would be x - 9 = 17.

$(x)/(4)=2\nMultiply\ by\ 4\ on\ both\ sides.\nx=2*4\n{\boxed{x=8}$

$\n\nx-9=17\nAdd\ 9\ on\ both\ sides.\nx=17+9\n{\boxed{x=26}$

$x+12=20\nSubtract\ 12\ on\ both\ sides.\nx=20-12\n{\boxed{x=8}$

$2x=16\nDivide\ by\ 2\ on\ both\ sides.\nx=(16)/(2)\n{\boxed{x=8}$

$\sf\ The\ only\ equation\ that\ did\ not\ have\ the\ same\ solution\ as\ the\nothers\ was\n {\boxed{x-9=17}$

Two and ninety-six hundreths in decimal form

Answers

Answer: Two and ninety-six hundredths in decimal form would be 2.96!

Step-by-step explanation:

Other Questions

What characteristic marked American mainstream society in the 1950s?frugality overspending individualism conformity

a family buys a car for $20,000. the value of the car decreases about 20% each year. after 6 years, the family decides to sell the car. should they sell it for $4000?

Will someone PLEASE check my answers asap?? will mark a brainliest!!1) The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is ____2) Find an equivalent function to f(x) = 4(7)2x. A) f(x) = 282xB) f(x) = 4(49)xC) f(x) = 196xD) f(x) = 16x(49)x3) The functions f(x) and g(x) are described using the following equation and table:f(x) = −6(1.02)^xx g(x)−1 −50 −31 −12 1Which equation best compares the y-intercepts of f(x) and g(x)?a) The y-intercept of f(x) is equal to the y-intercept of g(x).b) The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).c) The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).d) The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).4) What is the value of x in the solution to the following system of equations? (5 points)x − y = −3x + 3y = 5For #1 i put in 3 as the answer.For #2 i put B as the answer.For #3 i put B as the answer.For #4 i put 2 as the answer.

Does the point (1, 1) satisfy the inequality 3x + 9y < 12?