Question

log5 1/625-log8 1/64-lg 1/1000​

Answer 1

Ответ:

1.

Объяснение:

log5 1/625-log8 1/64-lg 1/1000 = log5 5^(-4) - log8 8^(-2) - llg10^(-3). = -4 - (-2) - (-3) = - 4 + 2 + 3 = 1.

Answer 2

First, we simplify each logarithmic term:

log5 1/625 = log5 (1/5^4) = log5 5^-4 = -4
log8 1/64 = log8 (1/8^2) = log8 8^-2 = -2
lg 1/1000 = lg (1/10^3) = lg 10^-3 = -3

Now we can substitute these values into the original expression:

log5 1/625 - log8 1/64 - lg 1/1000 = -4 - (-2) - (-3) = -4 + 2 + 3 = 1

Therefore, the value of the expression is 1.