Question

Log25 0,2 + log0,5 64=

Answer 1

Log25(0.2) = log25(1/5) = -log25(5) = -1/2
log0.5(64) = log(1/2)(2^6) = -log2(2^6) = -6
-6.5

Answer 2

log25(0,2) + log0,5(64) = log(0,2) / log(25) + log(64) / log(0,5)

Вычислим каждую часть отдельно:

log(0,2) / log(25) ≈ -2,322 / 1,398 ≈ -1,659 log(64) / log(0,5) ≈ 1,806 / -0,301 ≈ -6,001

Итак, log25(0,2) + log0,5(64) ≈ -1,659 - 6,001 ≈ -7,66