Question

Log6(24)-log(6)12+log6(18)

Answer 1

Log6((24*18):12)
log6(2*18)
log6(36)
log6(6 в квадрате)
2 - конечный ответ

Answer 2

To simplify the expression, we can use logarithmic properties. One important property is:

log_a(b) - log_a(c) = log_a(b/c)

Now, let's apply this property to the given expression:

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

Using the property, we combine the first two terms:

log6(24/12) + log6(18)

Now, simplify the expression inside the first logarithm:

log6(2) + log6(18)

Now, apply the property once again:

log6(2 * 18)

Now, calculate the value inside the logarithm:

log6(36)

Finally, evaluate the logarithm:

log6(36) = log(36) / log(6) ≈ 2.5849625

So, the simplified expression is approximately 2.5849625.