Question

Solve the equation for x. show your work log(2x-6)=2

Answer 1

Answer:

x = e^2/2 + 3

Step-by-step explanation:

Solve for x:

log(2 x - 6) = 2

Hint: | Eliminate the logarithm from the left hand side.

Cancel logarithms by taking exp of both sides:

2 x - 6 = e^2

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x = e^2 + 6

Hint: | Solve for x.

Divide both sides by 2:

Answer: x = e^2/2 + 3

Answer 2

Answer:

x = 53

Step-by-step explanation:

Rewrite  log ( 2 x − 6 ) = 2  in exponential form using the definition of a logarithm. If  x  and  b  are positive real numbers and  b  ≠  1 , then  log  b ( x ) =  y  is equivalent to  b y  =  x .

10  =  x  −  6

Solve for  x .

Rewrite the equation as  

x  −  6  =  10 .

x  −  6  =  10

Raise  10  to the power of  2 .

x  −  6  =  100

Move all terms not containing  x  to the right side of the equation.

x  =  106

Divide each term by  2  and simplify.  x = 53