Convert to Logarithmic Form (1/10)^-3=1000

Problem

(1/10)(−3)=1000

Solution

1. Identify the base, the exponent, and the result in the given exponential equation by=x

2. Recognize that the base is b=1/10 the exponent is y=−3 and the result is x=1000

3. Apply the definition of a logarithm, which states that by=x is equivalent to (log_b)(x)=y

4. Substitute the identified values into the logarithmic form.

Final Answer

(log_1/10)(1000)=−3

Want more problems? Check here!