Final answer:
To simplify the equation log(3r+12)=log7r, we need to use the property of logarithms that states log(a) = log(b) is equivalent to a = b.
Step-by-step explanation:
To simplify the equation log(3r+12)=log7r, we need to use the property of logarithms that states log(a) = log(b) is equivalent to a = b. So, we can set 3r+12 equal to 7r.
Here's how to solve for r:
- Subtract 3r from both sides: 12 = 4r
- Divide by 4: r = 3
Therefore, the solution to the equation is r = 3.