Answer with explanation:
The equation is
5 x-2 =8
Adding 2 on both sides
→5 x-2+2=8+2
→5 x=10
Dividing both sides by,5, we get
→x=2
Using the concept of Logarithms
[tex]1.\log_{a}b=\frac{\log b}{\log a}\\\\2.\log ab=\log a +\log b\\\\\rightarrow \log_{10}{5 x}=\log_{10} 10\\\\\rightarrow \log_{10}5+\log_{10} x=1\\\\0.698+\log_{10} x=1\\\\\log_{10} x=1-0.698\\\\ \frac{\log x}{\log 10}=0.302\\\\ \log x=(\log 10^{0.302})\\\\ \log x=\log 2.044\\\\x=2.004472[/tex]
Gives, x=2.005 (Approx)
