Answer:
the solutions are x = -100,100
Step-by-step explanation:
The given logarithmic equation is [tex]\log x^2 +1=5[/tex]
Subtract 1 to both sides
[tex]\log x^2=4[/tex]
Remove logarithm, we get
[tex]x^2=10^4[/tex]
Take square root both sides
[tex]\sqrt{x^2}=\pm\sqrt{10^4}\\\\x=\pm10^2\\\\x=\pm100[/tex]
Therefore, the solutions are x = -100,100
