Final answer:
The logarithmic equation log(x+4)(9) = 1 is solved by rewriting it in its exponential form, which leads to x + 4 = 9. By solving for x, we find that the solution is x = 5.
Step-by-step explanation:
To solve the logarithmic equation logx+4 (9) = 1, we need to convert the logarithmic form to its equivalent exponential form. The general form of a logarithm loga(b) = c means that ac = b. Using this property, we can rewrite our equation as (x + 4)1 = 9.
Since any number raised to the power of 1 is the number itself, we have x + 4 = 9. We can find the value of x by subtracting 4 from both sides of the equation, which gives us x = 5. Therefore, the solution to the logarithmic equation is x = 5.