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Given that log 2 = x, log 3 = y and log 7 = z, express the following expressions in terms of x, y, and z. 10. Solve the following equations. 11. Draw the graph of each of the following logarithmic functions, and analyze each of them completely. 12. Find the inverse of each of the following functions.
3) ln (uv6) 5 5lnu + 30lnv 4) ln (x × y × z6) lnx + lny + 6lnz Condense each expression to a single logarithm. 5) 25ln5 - 5ln11 ln 525 115 6) 5lnx + 6lny ln (y6x5) 7) ln5 2 + ln6 2 + ln7 2 ln210 8) 20lna - 4lnb ln a20 b4 Use a calculator to approximate each to the nearest thousandth. 9) ln39 3.664 10) ln2.2 0.788 11) ln21 3.045 12) ln3.4 1.224
Apply logarithms to real world situations. Find the inverse of an exponential function. Convert between exponential form and logarithmic form. but how do you undo exponents? = 2048. = 1024. = 625. in each example. How do you solve this equation? Inverse functions are two functions whose operations undo each other.
(1) What is a set? Give three examples of finite sets, and give three examples of infinite sets. (2) What is a relation? (3) Construct three examples of relations using the finite sets you presented in question (1). (4) Construct three examples of relations using the infinite sets you presented in question (1). (5) What is the domain of a ...
Worksheet by Kuta Software LLC MATHEMATICS 5 SN INVERSES - EXPONENTIAL & LOGARITHMIC Name_____ ©j l2e0M1p6E hKguutTa_ oS^ojfYtTwba\rieC CLTLkCt.G K CAIlYlX NrQisg\hktNsn irxecsfeVrwvceydk.-1-Find the inverse of each function. 1) y = 10 x 5 2) y = 6x - 4 3) y = log 5 3x 4) y = 4x + 10 5) y = 6x 2 6) y = 5 x 3 7) y = 1
Exponential and Log Functions Worksheet Exponential Functions and Inverse of a Function 1. Find the inverse of f x x( ) 2 3 2. Find the inverse of 4 (2) x g x x Mini Lecture: If fx( ) 3 x and 1 2 x gx §· ¨¸ ©¹ find, a. g(0) b. f( 3) c. fg(2) ( 2) d. Graph y x2x e. Graph y 3 and its inverse 3. Graph yx2 2 and find its inverse and graph it ...
