Problem

Write the equation in logarithmic form: $(\sqrt{3})^{10}=243$

Solution

Step 1 :Write the equation in logarithmic form: \((\sqrt{3})^{10}=243\)

Step 2 :The general form of a logarithmic equation is \(\log_b a = c\), which is equivalent to \(b^c = a\). In this case, the base \(b\) is \(\sqrt{3}\), the exponent \(c\) is 10, and the result \(a\) is 243.

Step 3 :So, the logarithmic form of the given equation would be \(\log_{\sqrt{3}} 243 = 10\).

Step 4 :Final Answer: \(\boxed{\log_{\sqrt{3}} 243 = 10}\)

From Solvely APP
Source: https://solvelyapp.com/problems/12382/

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