The solution to the equation log2x + log2(x – 6) = 4 is x =

Value of x=8

Step-by-step explanation:

Given :          

To find : The solution to the equation given

Solution :

Step 1- Write the given expression

Step 2 - Using logarithmic laws

Step 3 - To remove log-base 2, we need to raise the left and right hand terms to power 2.

Step 4 - Solve the quadratic equation

Either x=8 or x=-2

We neglect x=-2 because negative value is not defined in log.

Value of x=8

this is answer of 144 cubic meters

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