Question

Log (2) 20-log (2)15+log (2)24

Answer 1

Это правило сложение логарифмов с одинаковым основанием:
при приведении получится log (2) 20*24/15=
log (2) 32 = 5

Answer 2

To solve this expression, you can use the properties of logarithms. The basic properties of logarithms are:

1. log(a) + log(b) = log(a * b)
2. log(a) - log(b) = log(a / b)

Let's apply these properties to your expression:

log₂(20) - log₂(15) + log₂(24)

Using property 1, we can combine the first and third terms:

log₂(20 * 24) - log₂(15)

Now, calculate the values within the logarithms:

log₂(480) - log₂(15)

Finally, use property 2 to subtract the second logarithm from the first one:

log₂(480 / 15)

Simplify the division:

log₂(32)

So, the expression simplifies to:

log₂(32)