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