quaderno/.trash/Esercizi 2.md

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2024-09-01 13:14:44 +02:00
# Pagina 781
## Esercizio 125
$$ log_2 3 + log_2 6 = log_2 18 $$
## Esercizio 127
$$log(3*4)=log 12$$
## Esercizio 129
$$
log 100 = 2
$$
## Eserizio 131
$$log \frac{1}{100} =-2$$
## Esercizio 133
$$ log(400/25/2) = log(8) $$
# Pagina 782
## Esercizio 159
$$ log_a(x^2 - x) = log_a(x^2-x) \to x^2-x > 0 \to x_{1,2,}=\frac{1\pm1}{2} \to x>1 $$
# Pagina 785
## Esercizio 234
$$ln_e (-x)= -2 \to -x=e^{-2} \to x=-\frac{1}{e}$$
## Esercizio 236
$$ 3 log(x) + 6 = 0 \to log(x^3) = -6 $$