Getal & Ruimte (13e editie) - havo wiskunde B
'Rekenen met logaritmen'.
| havo wiskunde B | 5.5 Logaritmen |
opgave 1Bereken. 1p a \({}^{7}\!\log(49)\) Logaritme (1) 00fi - Rekenen met logaritmen - basis a \({}^{7}\!\log(49)={}^{7}\!\log(7^2)=2\) 1p 1p b \({}^{6}\!\log(6)\) Logaritme (2) 00fj - Rekenen met logaritmen - basis b \({}^{6}\!\log(6)={}^{6}\!\log(6^1)=1\) 1p 1p c \({}^{8}\!\log(\frac{1}{8})\) Logaritme (4) 00fl - Rekenen met logaritmen - basis c \({}^{8}\!\log(\frac{1}{8})={}^{8}\!\log(8^{-1})=-1\) 1p 1p d \({}^{\frac{1}{7}}\!\log(\frac{1}{49})\) Logaritme (5) 00fm - Rekenen met logaritmen - basis d \({}^{\frac{1}{7}}\!\log(\frac{1}{49})={}^{\frac{1}{7}}\!\log(\frac{1}{7}^2)=2\) 1p opgave 2Bereken. 1p a \({}^{\frac{1}{5}}\!\log(25)\) Logaritme (6) 00fn - Rekenen met logaritmen - basis a \({}^{\frac{1}{5}}\!\log({}^{\frac{1}{5}}\!\log(25))={}^{\frac{1}{5}}\!\log(\frac{1}{5}^{-2})=-2\) 1p 1p b \({}^{9}\!\log(81\sqrt{9})\) Logaritme (7) 00fo - Rekenen met logaritmen - basis b \({}^{9}\!\log(81\sqrt{9})={}^{9}\!\log(9^2⋅9^{\frac{1}{2}})={}^{9}\!\log(9^{2\frac{1}{2}})=2\frac{1}{2}\) 1p 1p c \({}^{6}\!\log(6^{8{,}9})\) Logaritme (8) 00fp - Rekenen met logaritmen - basis c \({}^{6}\!\log(6^{8{,}9})=8{,}9\) 1p |