Solve log x2 + 1 = 5. Round to the nearest thousandth if necessary.

Question

asked Nov 7, 2019 215k views

2 Answers

JClaspill · Answer 1 · 2019-11-12T23:14:54+0000

Answer:

the solutions are x = -100,100

Explanation:

The given logarithmic equation is
$\log x^2 +1=5$

Subtract 1 to both sides

$\log x^2=4$

Remove logarithm, we get

x^2=10^4

Take square root both sides

$√(x^2)=\pm√(10^4)\\\\x=\pm10^2\\\\x=\pm100$

Therefore, the solutions are x = -100,100