To solve this equation, we need to isolate the variable on one side of the equation.
First, we can rewrite the equation using the properties of logarithms:
lg3 (2x - 4) = lg3 (x + 7)
This equation represents that the logarithm of (2x - 4) to the base 3 is equal to the logarithm of (x + 7) to the base 3.
Since the base of the logarithms is the same, we can drop the logarithms:
2x - 4 = x + 7
Now, we can solve for x by isolating the variable on one side:
2x - x = 7 + x = 11
Therefore, the solution to the equation lg3 (2x - 4) = lg3 (x + 7) is x = 11.
To solve this equation, we need to isolate the variable on one side of the equation.
First, we can rewrite the equation using the properties of logarithms:
lg3 (2x - 4) = lg3 (x + 7)
This equation represents that the logarithm of (2x - 4) to the base 3 is equal to the logarithm of (x + 7) to the base 3.
Since the base of the logarithms is the same, we can drop the logarithms:
2x - 4 = x + 7
Now, we can solve for x by isolating the variable on one side:
2x - x = 7 +
x = 11
Therefore, the solution to the equation lg3 (2x - 4) = lg3 (x + 7) is x = 11.