合并 1000e^{(4ln(2))/3}

解答

合并

1000 e^{\frac{4 l n ( 2 )}{3}}

1000 e^{\frac{l n ( 16 )}{3}}

十进制

2519.84209 \dots

求解步骤

1000 e^{\frac{4 l n ( 2 )}{3}}

使用对数计算法则:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 ln (2) = ln (2^{4})

= 1000 e^{\frac{l n ( 2 ^{4} )}{3}}

2^{4} = 16

= 1000 e^{\frac{l n ( 16 )}{3}}

s im pl i f y ln (\frac{( t + 5 ) ^{3}}{t ^{4} ( 5 - 1 ) ^{2}})

s im pl i f y ln (x^{5}) - ln (x)

s im pl i f y - 4 ln (x) + ln (5 y) - ln (4 z)

s im pl i f y \frac{1}{3} lo g_{10} (a) - \frac{1}{2} (lo g_{10} (b) - lo g_{10} (c))

s im pl i f y lo g_{2} (6) - lo g_{2} (15) - lo g_{2} (20)