write the logarithmic equation in exponential form log0.001=-3
10-3=.001
To write the logarithmic equation log0.001 = -3 in exponential form, we need to understand the relationship between logarithms and exponents.
In exponential form, a logarithmic equation is expressed as:
b^y = x
Where:
b is the base of the logarithm,
y is the exponent,
and x is the result of the logarithm.
Using this form, we can rewrite the equation log0.001 = -3 into exponential form.
In this case, the base of the logarithm is 10 because log without a base specified is assumed to be base 10. The result of the logarithm is the number -3, and the number we want to find the exponent for is 0.001.
Therefore, the exponential form of the logarithmic equation log0.001 = -3 is:
10^(-3) = 0.001
To write the logarithmic equation log0.001 = -3 in exponential form, we need to understand the relationship between logarithms and exponentials.
In general, the logarithm of a number (base "b") to a given exponent (let's call it "x") is defined as the power to which the base must be raised to yield that number. This can be written as:
log_b(y) = x
In exponential form, this equation can be rewritten as:
b^x = y
Now, let's apply this to the given logarithmic equation log0.001 = -3. Here, the base is not explicitly mentioned, which means it is assumed to be 10 (common logarithm). Therefore, we have:
10^(-3) = 0.001
So, the exponential form of log0.001 = -3 is 10^(-3) = 0.001.