1.

The value of log 0.0001 to the base 0.1

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


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