10 for b> 0 with b 1, what are the domain and range of f(x)=㏒bx and why?

    has domain  and range  .  the relationship between a logarithmic form and the exponential form of an equation is as follows:     those two equations are equivalent. they represent the same thing. it's pretty much the definition of a logarithm.logarithm is the exponent.  asks the question, "b to the power of what will get us c? " and if  , then the answer to that question is .if we convert  to exponential form, we get    a number raised to a real number exponent will never be less than or equal to 0, hence why the domain is  . is the exponent, and it can take on any real number value. there's no restrictions on the exponent. you could do        and still get a real number. there's no particular restrictions on the exponent. so the range is all real numbers.(you can also think of the inverse of  .)