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Question

Write the equation in exponential form

log 0.001 = -3

can you tell me step by step how to get the answer Thank you:)

Answer 1

log, written with no subscript, assumes a subscript of 10. So the log base 10 of 0.001 is -3. That means that 0.001 (the argument of the log function) is equal to 10 (the base of the log) raised to the power of -3 (the logarithm or exponent). In exponential form, we express this as 10^(-3) = 0.001.

Answer 2

log 0.001 = -3 uses logs to the base 10 (rather than natural logs). Therefore, the question is to what exponent 10 must be raised to obtain 0.001 (or 1/1,000). Note hat 0.1 = 1/10, 0.01 = 1/100 and 0.001 must equal 1/1,000. Raising ten to the two power would make it larger than ten (100) so the power must be negative to place the result in the denominator (10 raised to the -3 = 1/1,000).

Answer 3

0.001 = 10^(-3)

log[base 10] (10^(-3)) means 10 to the power of what gives 10^(-3).

Of course it is -3.

so log 0.001 = -3

and 0.001 = 10^(-3) is the exponential form

Answer 4

There is no answer because there is no question.

That is a simple statement. The log of .001 is -3.

Put another way, it is simply saying that if you raise 10 to the -3 power, you get .001.

Hope that helps.

Answer 5

log base is 10

so

log x = y
10^y = x

In your case

log 0.001 = -3

10^(-3) = 0.001 or 1/1000
.

Answer 6

THE ANSWER IS 2