Question

Log6(24)−log6(12)+log6(18)

Answer 1

log 6(24)-log 6(12)+log 6(18)

log6(24*18/12)

log6(2*18)

log6(36)

log6(6 в квадрате)= 2

Answer 2

To simplify the expression:

log6(24) - log6(12) + log6(18)

We can use the properties of logarithms to combine and manipulate the terms. The properties we'll use are:

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

Applying these properties:

log6(24) - log6(12) + log6(18) = log6(24/12) + log6(18) = log6(2) + log6(18)

Now, we can use the second property to combine the logarithms:

= log6(2 * 18) = log6(36)

Since 6^2 = 36, the final result is:

= 2