Questions: Rewrite as an exponential equation. log 4=x

Rewrite as an exponential equation. log 4=x
Transcript text: Rewrite as an exponential equation. \[ \log 4=x \]
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Solution

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Rewrite the logarithmic equation as an exponential equation.

Understand the logarithmic form

The logarithmic equation \(\log 4 = x\) is in the form \(\log_b a = c\), where \(b\) is the base, \(a\) is the argument, and \(c\) is the result. Here, the base \(b\) is 10 (since no base is specified), \(a = 4\), and \(c = x\).

Convert to exponential form

The exponential form of \(\log_b a = c\) is \(b^c = a\). Substituting the values, we get \(10^x = 4\).

The exponential equation is \(\boxed{10^x = 4}\).

The exponential equation is \(\boxed{10^x = 4}\).

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