Question

question 8 of 10
which exponential equation is equivalent to the logarithmic equation below?
log 478 = a

a. ( a^{10} = 478 )

b. ( 10^{a} = 478 )

c. ( 478^{10} = a )

d. ( 478^{a} = 10 )

Explanation:

Step1: Recall logarithm definition

The logarithmic equation $\log_b x = y$ is equivalent to the exponential equation $b^y = x$. For the common logarithm (base 10, when the base is not specified), $b = 10$.

Step2: Apply the definition

Given $\log 478 = a$ (base 10), using the definition, we have $10^a = 478$.

Answer:

B. $10^a = 478$