Question

Обчислити log8 24-log8 3=

Answer 1

$log_{8}24-log_{8}3=log_{8}\frac{24}{3}=log_{8}8=1$

Answer 2

To compute the expression log8(24) - log8(3), we can use the logarithmic property that states:

log_b(a) - log_b(c) = log_b(a/c)

So, applying this property to the given expression:

log8(24) - log8(3) = log8(24/3)

Now, simplify the expression inside the logarithm:

log8(24/3) = log8(8)

The base of the logarithm is 8, and 8 raised to what power equals 8?

8^1 = 8

So,

log8(8) = 1

Therefore, log8(24) - log8(3) equals 1.