To solve this equation, we will use the property of logarithms that states if log(a)b = log(a)c, then b = c.
Given: log0.3(12x+8) = log0.3(11x+7)
Since both sides have the same base of 0.3, we can set the expressions inside the logarithms equal to each other:
12x + 8 = 11x + 7
Now, we can solve for x:
12x - 11x = 7 - 8x = -1
Therefore, the solution to the equation log0.3(12x+8) = log0.3(11x+7) is x = -1.
To solve this equation, we will use the property of logarithms that states if log(a)b = log(a)c, then b = c.
Given: log0.3(12x+8) = log0.3(11x+7)
Since both sides have the same base of 0.3, we can set the expressions inside the logarithms equal to each other:
12x + 8 = 11x + 7
Now, we can solve for x:
12x - 11x = 7 - 8
x = -1
Therefore, the solution to the equation log0.3(12x+8) = log0.3(11x+7) is x = -1.