Question

solve the equation \\(\log_4(x + 20) = 3\\)\\(x = 44\\)complete\\(\quad\\)solve the equation \\(\log_6(13 - x) = 1\\).\\(x = \square\\)done

Explanation:

Step1: Convert log to exponential form

Recall $\log_b(a)=c \implies b^c=a$. So:
$$6^1 = 13 - x$$

Step2: Simplify and solve for x

Calculate $6^1=6$, then rearrange:
$$6 = 13 - x$$
$$x = 13 - 6$$

Answer:

$7$