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logarithm.py

# ============================================================
# The 3 types of logarithms
# ============================================================

x = np.linspace(-3,3,100)

ln = np.log(x)
decimal = np.log10(x)
binary = np.log2(x)

plt.plot(x, ln, label='$natural$')
plt.plot(x, decimal, label='$decimal$')
plt.plot(x, binary, label='$binary$')

plt.title('Logarithms',fontsize=12)
plt.savefig('logarithms.png', bbox_inches='tight')

plt.xlabel('x')
plt.ylabel('y')
plt.grid()
plt.legend()
plt.show()

# ============================================================
# Logarithm of a product
# ============================================================

a = 3
b = 4
 
log1 = np.log(a*b) # 2.48491
log2 = np.log(a) + np.log(b) # 2.48491

# ============================================================
# Logarithm of a quotient
# ============================================================

a = 3
b = 4

log1 = np.log(a / b) # −0.287682
log2 = res3 = np.log(a) - np.log(b) # −0.287682

# ============================================================
# Logarithm of a power
# ============================================================

a = 3

log1 = np.log(a ** 3)
log2 = 3 * np.log(a)

print(log1) # 3.295836866004329
print(log2) # 3.295836866004329