Question

Log 0.0625 base 0.3 is equal to

Answer 1

Answer:

2.303

Step-by-step explanation:

Given a, b and c and that log a to base b is equal to c then the relationship can be represented by :

log (a) to base b = c

Then :

b^c = a

Taking natural logs on both sides we have :

c log b = log a

Now c is given by :

c = log a / log b

In our case :

b = 0.3

a = 0.0625

We can therefore get the value of C since it is what we need.

From the formula :

c = log(0.0625) / log (0.3)

c = 2.303

The log of 0.0625 to base 0.3 Is therefore 2.303