solve: 4 = log_b(625)\nb = \nthe solution is

Answer:

5

Explanation:

Step1: Convert to exponential form

By the definition of logarithms, if $y = \log_b(x)$, then $x=b^y$. So, $4=\log_b(625)$ can be written as $b^4 = 625$.

Step2: Solve for $b$

We need to find a number $b$ such that $b^4=625$. Since $5^4=5\times5\times5\times5 = 625$, then $b = 5$.