Answered

Given [tex]\(\log 300 = a\)[/tex], select the correct equation:

A. [tex]\(300^{10} = a\)[/tex]
B. [tex]\(a^{10} = 300\)[/tex]
C. [tex]\(10^a = 300\)[/tex]
D. [tex]\(300^a = 10\)[/tex]



Answer :

GinnyAnswer
To solve the problem starting from the given equation [tex]\(\log 300 = a\)[/tex], let's begin by understanding the logarithmic function.

[tex]\(\log b = x\)[/tex] means that [tex]\(10^x = b\)[/tex]. Here, [tex]\(b\)[/tex] is 300, and [tex]\(x\)[/tex] is [tex]\(a\)[/tex].

Therefore, if [tex]\(\log 300 = a\)[/tex], it implies:

[tex]\[10^a = 300\][/tex]

This matches the mathematical representation given in option C.

Hence, the correct answer is:

C. [tex]\(10^a = 300\)[/tex]