Question

find the value of log 0.0001 to the base 0.01 ​

Answer 1

Answer:

The answer is: log0.010.00001 = 52

Answer 2

Answer:

Recall that by the definition of logarithms:

log_a (y)=x⇔y=a^x

if

y = log_0.1 (0.0001)

then ;

0.0001 = (0.1)^y

10^ -4 = 10 ^ -y ---------------> EQ.1

use this property

if 10 ^a = 10 ^ b (same base and different power )

then a = b

now EQ 1.

10^ -4 = 10 ^ -y

-4 = -y

then y = 4