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solve for s. 10^s = 10,000 s = \\square

Question

solve for s.
10^s = 10,000
s = \square

Explanation:

Step1: Rewrite 10,000 as a power of 10

We know that \(10,000 = 10^4\) because \(10\times10\times10\times10 = 10^4\).

Step2: Set the exponents equal

Since \(10^s = 10^4\) and the bases are the same (both are 10), we can set the exponents equal to each other. So, \(s = 4\).

Answer:

\(s = 4\)