What is the simplified base for the function f(x) = 2(3√27(2x)?
2
3
9
18

option C is correct i.e. 9

Step-by-step explanation:

We have given that :

To find : The simplified base of the function f(x)  

Solution:

Now, we solve the equation  

Therefore, the  simplified base of the function f(x) is 9

Option C is correct

9 the simplified base for the given function f(x)

Step-by-step explanation:

Using exponent rules:

Given the function:

We can write 27 as:

then;

Apply the exponent rules:

Apply the exponent rules:

⇒

⇒

On comparing with exponential function where, b is base of the exponent function, then

b = 9

Therefore, the simplified base for the given function is, 9

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3