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.