Question

Найти значения выражения 8 log8 (5 корней из 8)

Answer 1

8log₈(⁵√8) = 8log₈(8)¹/⁵ = 8*(1/5)log₈(8) = 8/5 = 1,6

Answer 2

$14)8log_{8}\sqrt[5]{8} =8log_{8}8^{\frac{1}{5}}=8*\frac{1}{5}log_{8}8=1,6*1=1,6\\\\15)6^{2+log_{6}10}=6^{2}*6^{log_{6}10}=36*10=360\\\\16)6Sin135^{0}*Cos45^{0}=6Sin(90^{0}+45^{0})*Cos45^{0}=6Cos45^{0}*Cos45^{0}=6Cos^{2}45^{0} =6*(\frac{1}{\sqrt{2}})^{2}=6*\frac{1}{2}=3$

$17)tg(\alpha+\frac{3\pi }{2})=-Ctg\alpha =-\frac{1}{tg\alpha}=-\frac{1}{1,25}=-0,8$