Question

find the value of log0.0001 to the base 10​

Answer 1

Answer:

Hope it works.....................................™✌️✌️

Answer 2

Answer:

The answer to the given question is log 0.0001 to the base 10 will be -4.

Step-by-step explanation:

Given:

log 0.0001 to the base 10.

To find:

we have to find the value of the given expression, which is log 0.0001 to the base 10.

Solution:

The log 0.0001 to the base 10 can be written as

log 1/10000 to the base 10.

$log \frac{1}{10000} to \: the \: base \: 10$

The value of

$\frac{1}{10000} = 0.0001$

Therefore, the value of

$log \frac{1}{ {10}^{4} } to \: the \: base \: 10$

$\frac{1}{ {10}^{4} } can \: be \: written \: as \: {10}^{ - 4}$

Therefore

$log \: {10}^{ - 4} to \: the \: base \: 10$

-4 log 10 to the base 10.

The value of log 10 to the base 10 will be equal to 1.

On substituting the value 1 in the place of log 10 to the base 10.

$- 4 \times 1 \\ - 4$

Therefore, the final answer to the given question is log 0.0001 to the base 10 is -4.

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