Question

question 5 of 10
which exponential equation is equivalent to the logarithmic equation below?
log 400 = a

a. 400^a = 10
b. 10^a = 400
c. a^10 = 400
d. 400^10 = a

Explanation:

Step1: Recall log to exponential conversion

The definition of a logarithm: If $\log_b x = y$, then $b^y = x$. Here, the base of $\log$ (common log) is 10, so $b = 10$, $x = 400$, $y = a$.

Step2: Apply the conversion formula

Using $b^y = x$ with $b = 10$, $y = a$, $x = 400$, we get $10^a = 400$.

Answer:

B. $10^a = 400$