Write the following logarithmic equation in exponential form?
1- log0.001 = -3
1- log0.001 = -3
4 = log 0.001
or 10^4 = .001
This is a false statement. Check your typing
1 - log 0.001
= 1 - (-3)
= 4 , not -3
you werent supposed to include the 1-
To convert the logarithmic equation into exponential form, we need to remember that logarithms and exponentials are inverse operations.
The equation is:
log0.001 = -3
In exponential form, it becomes:
10^(-3) = 0.001
To write a logarithmic equation in exponential form, we need to understand the relationship between logarithms and exponentials.
In general, a logarithm tells you what exponent is needed to raise a base to a certain number. The logarithm of a number y to a base b is denoted as log(base b) (y) and can be written as:
y = b^(log(base b) (y))
Now let's apply this concept to the given logarithmic equation:
1 - log(0.001) = -3
To convert this equation to exponential form, we need to identify the base and the exponent.
In this equation, the base of the logarithm is not explicitly mentioned, so we assume it to be 10 by default (since base-10 logarithms are most commonly used).
Therefore, the equation becomes:
0.001 = 10^(-3)
In exponential form, the base 10 is raised to the power of -3, resulting in a value of 0.001.
So, the exponential form of the given logarithmic equation is 10^(-3) = 0.001.