Question

Log(2основание) 96-log(2основание) 3-log(9 основание)81

Answer 1

Не забудь поблагодарить :)

Answer 2

To solve this expression, we can use the following logarithmic rules:

1. log_a (b) - log_a (c) = log_a (b/c)
2. log_a (b^c) = c*log_a (b)

Using these rules, we can simplify the expression as follows:

log(2, 96) - log(2, 3) - log(9, 81)

= log(2, 96/3) - log(9, 81)

= log(2, 32) - log(3, 3^4)

= log(2, 2^5) - 4*log(3, 3)

= 5log(2, 2) - 41

= 5 - 4

= 1

Therefore, the value of the expression is 1.