Question

Log 24 по основанию 2 - log 6 по основанию 2

Answer 1

Через св-во логарифма:
log2(24)-log2(6)=log2(24)/(6)=log2(4)=2

Answer 2

Calculating log 24 base 2 minus log 6 base 2

To calculate the value of log 24 base 2 minus log 6 base 2, we can use the properties of logarithms. The difference of two logarithms with the same base is equal to the logarithm of the division of their arguments. Therefore, we can express this as:

log 24 base 2 - log 6 base 2 = log (24/6) base 2

Now, let's simplify the expression log (24/6) base 2.

Simplifying the Expression

log (24/6) base 2 can be simplified as follows:

log (24/6) base 2 = log 4 base 2

So, log 24 base 2 minus log 6 base 2 is equal to log 4 base 2.

Conclusion

Therefore, the value of log 24 base 2 minus log 6 base 2 is log 4 base 2.