X=0
Hope you have a great day
X² + 8x + 3 < 0
use the quadratic formula;
x = -8 + 2√13 / 2, -8 - 2√13 / 2
-4 - √13 < x < -4 + √13 (this is what they're asking as in interval notation)
hope this helps, God bless!
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When no base is stated, assume base 10
and
![log_a(b)=c](https://tex.z-dn.net/?f=log_a%28b%29%3Dc)
translates to
![a^c=b](https://tex.z-dn.net/?f=%20a%5Ec%3Db%20)
g(x)=1, hmm
1=1.1845-log x
times -1 both sides
-1=log x-1.1845
add 1.1845 to both sides
0.1845=log x
translate and assume base 10
![10^{0.1845}=x](https://tex.z-dn.net/?f=10%5E%7B0.1845%7D%3Dx)
that's the exact value of x such that g(x)=1
you can evaluate it yourself