the log(10^ -1)of 3.66 =

of 9.86 =

of -2.8 =

please help.

(the 10^-1 is the subscript to log)

To find the logarithms with the given base and argument, you can use the logarithmic property:

log_a(b) = log(b) / log(a)

Let's compute the logarithms one by one:

1. log(10^-1) of 3.66:
Here, the base is 10 and the argument is 3.66. Based on the property mentioned above, we can convert the logarithm into a simpler form:

log(10^-1) of 3.66 = log(3.66) / log(10)

Now, we need to find the logarithm of 3.66 to base 10. You can do this using a scientific calculator or table of logarithms. For example, using a scientific calculator:

log(3.66) ≈ 0.5623

And since log(10) = 1:

log(10^-1) of 3.66 ≈ 0.5623 / 1 ≈ 0.5623

So, log(10^-1) of 3.66 ≈ 0.5623.

2. log(10^-1) of 9.86:
Following the same logic as before:

log(10^-1) of 9.86 = log(9.86) / log(10)

Using a scientific calculator:

log(9.86) ≈ 0.9933

And log(10) = 1:

log(10^-1) of 9.86 ≈ 0.9933 / 1 ≈ 0.9933

Therefore, log(10^-1) of 9.86 ≈ 0.9933.

3. log(10^-1) of -2.8:
Again, using the same approach:

log(10^-1) of -2.8 = log(-2.8) / log(10)

Take note that logarithms are not defined for negative numbers, so the logarithm of -2.8 is not possible when using a positive base. Therefore, log(10^-1) of -2.8 is undefined.

To summarize:

log(10^-1) of 3.66 ≈ 0.5623
log(10^-1) of 9.86 ≈ 0.9933
log(10^-1) of -2.8 is undefined.