Mister Exam

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Inequation:
log(0,7)(x2+2x)≥log(0,7)(x2+16)
8(x+1)-7<=6(x-2)
log(4,x)^(2)+log(4,(x^(1/2)))>(3/2)
10,5x-12+1,5x²<=0
Identical expressions
log(zero , seven)(x2+2x)≥log(zero , seven)(x2+ sixteen)
logarithm of (0,7)(x2 plus 2x)≥ logarithm of (0,7)(x2 plus 16)
logarithm of (zero , seven)(x2 plus 2x)≥ logarithm of (zero , seven)(x2 plus sixteen)
log0,7x2+2x≥log0,7x2+16
Similar expressions
log(0,7)(x2+2x)≥log(0,7)(x2-16)
log(0,7)(x2-2x)≥log(0,7)(x2+16)

log(0,7)(x2+2x)≥log(0,7)(x2+16) inequation

You have entered [src]

log(7/10)*(x2 + 2*x) >= log(7/10)*(x2 + 16)

$$\left(2 x + x_{2}\right) \log{\left(\frac{7}{10} \right)} \geq \left(x_{2} + 16\right) \log{\left(\frac{7}{10} \right)}$$

(2*x + x2)*log(7/10) >= (x2 + 16)*log(7/10)

Rapid solution [src]

   /     -16*log(10) + 16*log(7)         \
And|x <= -----------------------, -oo < x|
   \      -2*log(10) + 2*log(7)          /

$$x \leq \frac{- 16 \log{\left(10 \right)} + 16 \log{\left(7 \right)}}{- 2 \log{\left(10 \right)} + 2 \log{\left(7 \right)}} \wedge -\infty < x$$

(-oo < x)∧(x <= (-16*log(10) + 16*log(7))/(-2*log(10) + 2*log(7)))

Rapid solution 2 [src]

(-oo, 8]

$$x\ in\ \left(-\infty, 8\right]$$

x in Interval(-oo, 8)