handling ln and log

this is something we lowk forget sometimes

ln(1)

0

ln(e)

1

product rule, log

\quad \log_b(MN) = \log_b(M) + \log_b(N)

• addition of two logs is the same thing as adding them

quotient rule, log

\quad \log_b\!\left(\frac{M}{N}\right) = \log_b(M) - \log_b(N)

• difference of two logs is division inside one log

power rule

\quad \log_b\!\left(M^p\right) = p \cdot \log_b(M)

• when you multiply a log by a number “P’, that will become the exponent for “M” inside the log

• e^{\ln a} \ln a}$$

---

• a = ‘number within ln”

a

• since lna = log_ea; e and log_e cancel out