3 years ago

Find the value of x if (2/3)^x (3/2)^2x = 27/8

1 answer:

8 0

Answer: x=3
(2/3)^x (3/2)^2x = 27/8
(3/2)^-x (3/2)^2x = 27/8
(3/2)^-x+2x = 27/8
(3/2)^x = 27/8
(3/2)^x = 3^3/2^3
(3/2)^x = (3/2)^3
x=3

You might be interested in

Solve for the indicated variable <br>k = a - y; y

Varvara68 [4.7K]

(This user has been deleted.)

8 0

3 years ago

(1- 7n) • 5 simplify thank you

Bess [88]

Answer:

5-35n

Step-by-step explanation:

5-35n

Just open the parenthesis and multiply by 5.

8 0

3 years ago

Read 2 more answers

Determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!! Show your work. Part 2c

tankabanditka [31]

Answer:

2. Not enough information

4. Congruent SAS

4. Similar, not enough information to determine congruency.

Step-by-step explanation:

2. We only know one side and one angle are congruent, Not enough to determine congruency

4. We know two sides and the angle between are vertical angles and vertical angles are congruent. SAS is how the triangles are congruent.

6. The three angles are congruent which makes the triangles similar. We need to know a side if they are to be congruent

7 0

2 years ago

Solve the equation. 6^3r = 36

Hoochie [10]

Answer:

r = 2/3

Step-by-step explanation:

$6^{3r} =36$

if:

$36=6^{2}$

$6^{3r} =6^{2}$

then:

$3r=2$

$r=2/3$

Hope this helps

8 0

2 years ago

Read 2 more answers

Find the value of Y helpppp

DIA [1.3K]

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

$4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4$

3 0

3 years ago