To solve this equation, we need to use the fact that if the logarithms of two numbers are equal, then the numbers themselves must also be equal.
Therefore, we can write the equation as:
3x - 9 = 4x + 3
Next, we can solve for x by rearranging and simplifying the equation:
3x - 4x = 3 + 9-x = 12x = -12
Therefore, the solution to the equation log8(3x-9) = log8(4x+3) is x = -12.
To solve this equation, we need to use the fact that if the logarithms of two numbers are equal, then the numbers themselves must also be equal.
Therefore, we can write the equation as:
3x - 9 = 4x + 3
Next, we can solve for x by rearranging and simplifying the equation:
3x - 4x = 3 + 9
-x = 12
x = -12
Therefore, the solution to the equation log8(3x-9) = log8(4x+3) is x = -12.