Section7_3_review

Section7_3_review - Section 7.3 Logarithmic Functions The...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Section 7.3: Logarithmic Functions The logarithmic function f x ( 29 = log a x , a ≠ 1 , is the inverse of the exponential function f x ( 29 = a x . The natural logarithmic function f x ( 29 = ln x , (base e), is the inverse of the natural exponential function f x ( 29 = e x . For a 1 , the graph of f x ( 29 = log a x (and also of f x ( 29 = ln x ) is shown below and has the following characteristics: Slowly increasing Vertical asymptote at the y-axis Passes through the point 1,0 ( 29 Domain: 0, ∞ ( 29 Range: -∞ , ∞ ( 29 lim x →∞ log a x = ∞ lim x → + log a x = -∞ Properties of Logarithmic Functions ( x and y are greater than 0 and r is a real number) i) log a xy ( 29 = log a x + log a y ii) log a x y = log a x- log a y iii) log a x ( 29 r = r log a x iv) log a a x ( 29 = x , or ln e x = x v) a log a x = x , or e ln x = x To solve a logarithmic equation (one in which the variable appears in the argument of the log) i) Isolate the log containing the variable.Isolate the log containing the variable....
View Full Document

{[ snackBarMessage ]}

Page1 / 3

Section7_3_review - Section 7.3 Logarithmic Functions The...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online