Question

Oblicz log2 32, log1000, log3 81-log3 9

Answer 1

Log2 32 = log2 (2 do potęgi 5) = 5log2 2 = 5 * 1 = 5

log1000 = log(10 do 3) = 3log10 = 3 * 1 = 3

log3 81-log3 9 = log3 (3 do 4) - log3 (3 do 2) = 4 log3 3 - 2log3 3 = 4 - 2 = 2

lub

log3 81 - log3 9 = log3 (81:9) = log3 9 = log3 (3 do 2) = 2log3 3 = 2

Answer 2

Log₂ 32=x
2 do potęgi x= 32
2 do potęgi x=2⁵
x=5



log1000=x
10do potęgi x=1000
10do potęgi x=10³
x=3

log₃ 81-log₃ 9 =log₃(81:9)=log₃9