1 Answer

Jonpaul · Answer 1 · 2023-09-06T19:51:04+0000

We need to solve the following equation

$7x^{(7)/(2)}-21=0$

Steps:

1. Add 21 to both sides

$7x^{(7)/(2)}=21$

2. Divide both sides by 7

$x^{(7)/(2)}=3$

3. apply the following

$\begin{gathered} \ln x^{(7)/(2)}=\ln 3 \\ (7)/(2)\ln x=\ln 3 \\ \ln x=(2)/(7)\ln 3 \\ e^(\ln x)=e^{((2)/(7)\ln 3)} \\ x=3^{(2)/(7)} \end{gathered}$

Thus, the solution is

$x=3^{(2)/(7)}$

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