Question

the valuse of log 0.0001 to the base 0.1

Answer 1

Answer:

log

(

0.0001

)

=

−

4

Explanation:

Recall that by the definition of logarithms:

log

a

(

y

)

=

x

⇔

y

=

a

x

In this case:

log

(

0.0001

)

=

x

10

x

=

0.0001

⇒

but:

0.0001

=

10

−

4

so:

10

x

=

10

−

4

⇒

same bases on each side of an equation must have the same exponents, thus:

x

=

−

4