Given that log 25 = 1.3979, find the value of log 0.04.

Never mind, I figured it out.

To find the value of log 0.04, we can use the property of logarithms that states log(a / b) = log(a) - log(b).

Since 0.04 can be expressed as 25 / (1000), we can write log 0.04 as log (25 / (1000)).

Using the property mentioned above, we have log (25 / (1000)) = log 25 - log (1000).

We know that log 25 is 1.3979, but what is log 1000?

To find log 1000, we need to write 1000 as a power of 10. It can be expressed as 10^3.

So, log 1000 = 3.

Substituting back into the equation, we have:

log (25 / 1000) = log 25 - log 1000
= 1.3979 - 3.

Simplifying further, we have:

log (25 / 1000) = -1.6021.

Therefore, the value of log 0.04 is approximately -1.6021.

To find the value of log 0.04, we can make use of the logarithmic property that states: log a^b = b * log a.

In this case, we can express 0.04 as a power of 10. Since 0.04 = 4 * 10^(-2), we can rewrite it as (10^(-2))^2.

Using the logarithmic property mentioned above, we can write log 0.04 as 2 * log (10^(-2)).

Since log (10^(-2)) is the exponent to which we need to raise 10 to get 10^(-2), we have log (10^(-2)) = -2.

Plugging this value back into our original equation, we get log 0.04 = 2 * (-2) = -4.

Therefore, the value of log 0.04 is -4.