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:
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
