Homework 4 Solutions - Precalculus | MATH 1113, Study notes of Pre-Calculus

HW 4.5B Material Type: Notes; Class: Precalculus; Subject: Mathematics; University: University of Georgia; Term: Spring 2016;

Typology: Study notes

2015/2016

Uploaded on 04/27/2016

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4.5 B 1
1.8.33/8.33 points
Solve the following equation for x:
log6(2x + 1) = 8
IMPORTANT: Provide an exact expression, not a decimal approximation.
x = Watch It
2.8.33/8.33 points
Solve the following equation for x:
ln(x) - ln(7-x) = 9
IMPORTANT: Provide an exact expression, not a decimal approximation.
x =
3.8.33/8.33 points
Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO
SOLUTION.)
2 log2 x = 3 log2 5
x =
4.8.33/8.33 points
Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO
SOLUTION.)
log(x + 3) โˆ’ log x = 2 log 6
x =
5.8.33/8.33 points
Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO
SOLUTION.)
log6(x + 1) + log6 x = 1
x =
Practice Another Version
Practice Another Version
Practice Another Version
Practice Another Version
Practice Another Version
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4.5 B 1

1.8.33/8.33 points Solve the following equation for x: log 6 (2x + 1) = 8 IMPORTANT: Provide an exact expression, not a decimal approximation. x = Watch It 2.8.33/8.33 points Solve the following equation for x: ln(x) - ln(7-x) = 9 IMPORTANT: Provide an exact expression, not a decimal approximation. x = 3.8.33/8.33 points Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 2 log 2 x = 3 log 2 5 x = 4.8.33/8.33 points Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) log( x + 3 ) โˆ’ log x = 2 log 6 x = 5.8.33/8.33 points Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) log 6 ( x + 1 ) + log 6 x = 1 x = Practice Another Version Practice Another Version Practice Another Version Practice Another Version Practice Another Version

4.5 B 2

6.8.33/8.33 points Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) log 3 ( x + 3 ) + log 3 ( x + 1 ) = 1 x = 7.8.33/8.33 points Solve the equation. Enter an exact solution, without decimals! log 2 ( x + 2 ) = log 2 ( x โˆ’ 2 ) + log 5 ( 25 ) + 6 log 6 (3) x = Watch It 8.8.33/8.33 points Find all solutions of the equation ln( x ) โˆ’ ln( x โˆ’ 2 ) = 3 If there is more than one answer, enter them in a list separated by commas. Enter an exact answer: decimal approximations will be marked incorrect. 9.โ€“/8.33 points If p denotes the selling price (in dollars) of a commodity and x is the corresponding demand (in number sold per day), then the relationship between p and x is sometimes given by p = p 0 e (- ax ), where p 0 and a are positive constants. Express x as a function of p. (Type p 0 as p_0 and recall that you need lower case.) x ( p ) = 10.8.33/8.33 points Simplify completely. ( 4 y^6 )^2 ( 3 y^2 )โˆ’ 11.0/8.33 points Practice Another Version Practice Another Version Practice Another Version Practice Another Version