a
|
1 |
math.log(math.sqrt(27),3) |
b
|
1 |
math.log(3/4,3)+4*math.log(3/math.sqrt(2)) |
sympy
累乗と累乗根
\(4^{4}\times 2^{-1}\div 2^{2}\)
|
1 2 3 4 |
# 4**4*2**-1/2**2 Out:32 |
\(\sqrt [4] {81}\)
|
1 2 3 4 |
# pow(81, 1/4) OUT:3 |
\(\sqrt [3] {81}\times \sqrt [3] {9}\)
|
1 2 3 4 |
# pow(81,1/3)*pow(9,1/3) out:8.99999999 |
\(\sqrt [3] {\sqrt {64}}\)
|
1 2 3 4 |
# pow(pow(64,1/2),1/3) out:2 |
展開
を展開する場合は
|
1 |
sympy.expand(2*b*(x + 2)*(x - 4)) |
Out:
|
1 |
2*b*x**2 - 4*b*x - 16*b |
因数分解
因数分解一問目
|
1 2 3 4 5 |
import sympy x,y,z,a,b = sympy.symbols('x,y,z,a,b') A4 = 2*b*x**2-4*b*x-16*b sympy.factor(A4) |
OUT:
|
1 |
2*b*(x - 4)*(x + 2) |
因数分解二問目
|
1 2 |
A5 = 5*a*x**2-45*a sympy.factor(A5) |
OUT:
|
1 |
5*a*(x - 3)*(x + 3) |