Question

ln(x+5) +1 menor ou igual ln(5)

Answer 1

ln (x + 5) + 1 $\displaystyle\leq$ ln (5)
ln (x + 5) + ln e $\displaysty\leq$ ln (5)
ln [e(x + 5)] $\displaystyle\leq$ ln (5)
Como e > 1
e(x + 5) $\displaystyle\leq$ 5
ex + 5e $\displaystyle\leq$ 5
x $\displaystyle\leq$ $\displaystyle\frac{5 - 5e}{e}$

x $\displaystyle\leq$ $\displaystyle\frac{5(1 - e)}{e}$