Question

Log of 0.0625 to base 8

Answer 1

Answer:

-4/3

Step-by-step explanation:

0.0625 * 8 = 0.5

0.5 = 1/2 = 1/8^(1/3)

8^(1/3) = cube root of 8 = 2

Thus,

0.0625 = (1/8)*(1/8^(1/3)) = (1/8^(1+1/3)) = (1/8^(4/3))

Thus log of 0.0625 to base 8 = -4/3

Answer 2

Step-by-step explanation:

To make 8 a 0.0625, the power of 8 should be -4/3. And as we know that Log a to the base of a is 1, thus Log 8 to the base of 8 is 1.