Solve for x. Round your answers to 4 significant figures. 100.1.x = 0.5 e²x+3 = 3

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Logarithm problems.

5xe³x = 2
Products:
Quotients:
Exponents:
log(x-20) = 0.7
logh
JUM BOK AAN DE ACHTER AUOY BLOAD
Logarithms to the base 10 are called common logarithms:
Logarithms to the base e=2.718281828... are called.natural logarithms:
log, x log x
In x
Change of base:
log, blogb Inb
log, x =
where b>0,b=1
log, (x y) = log, x+logh y
y
= log₂ x-log, y
log, (x")=nlog, x
0.3x100.2x-1
Find the logarithm of 8 to the base 2
Simplify, express as a single logarithm
log, 24-log, 8+log, 6
= 0.5
In (5x+2) = 3
Logarithm Rules
"
log₁0 y = log y
log₂ y = ln y
log, 1=0
log, b=1
Find the logarithm of 6 to the base 36
5logx+-log(x²)-3log(x²)
Find the unknowns. If applicable, round your answers to 4 significant digits.
0.5²* = 10
32x+1 = 12
p. 2013
Transcribed Image Text:5xe³x = 2 Products: Quotients: Exponents: log(x-20) = 0.7 logh JUM BOK AAN DE ACHTER AUOY BLOAD Logarithms to the base 10 are called common logarithms: Logarithms to the base e=2.718281828... are called.natural logarithms: log, x log x In x Change of base: log, blogb Inb log, x = where b>0,b=1 log, (x y) = log, x+logh y y = log₂ x-log, y log, (x")=nlog, x 0.3x100.2x-1 Find the logarithm of 8 to the base 2 Simplify, express as a single logarithm log, 24-log, 8+log, 6 = 0.5 In (5x+2) = 3 Logarithm Rules " log₁0 y = log y log₂ y = ln y log, 1=0 log, b=1 Find the logarithm of 6 to the base 36 5logx+-log(x²)-3log(x²) Find the unknowns. If applicable, round your answers to 4 significant digits. 0.5²* = 10 32x+1 = 12 p. 2013
10
Definition of a logarithm:
MTA 002 Assignment 2
Exponential & Logarithmic Forms; Properties of Logarithms
YOUR NAME:
CIRCLE YOUR SECTION NUMBER: NAA NBB NCC
Maximum Marks: 20 (17 questions worth 1 mark each; word problem worth 3 marks)
Worth 7.5% of the Final Grade
Due Date: Thursday April 6th for section NCC; Friday, April 7th for sections NAA and NBB
10% penalty per day for lateness
Hand in the hard paper copies by the due date.
Please do not email the assignment.
20
9
"x" is the logarithm of "y" to the base "b
Special cases:
round to 4 significant digits.
Common logarithm: base b=10
Natural logarithm: base b=e=2.718281828
log(5.75×10-¹5)
If
y=b*
then x = log, y
2x+3
= 3
where y> 0, b>0,b=1
In 0.0001236
e
Solve for x. Round your answers to 4 significant figures.
10
7
x = log y
x = ln y
pil of 3
10⁰.1.x = 0.5
y=10*
y=e*
Transcribed Image Text:10 Definition of a logarithm: MTA 002 Assignment 2 Exponential & Logarithmic Forms; Properties of Logarithms YOUR NAME: CIRCLE YOUR SECTION NUMBER: NAA NBB NCC Maximum Marks: 20 (17 questions worth 1 mark each; word problem worth 3 marks) Worth 7.5% of the Final Grade Due Date: Thursday April 6th for section NCC; Friday, April 7th for sections NAA and NBB 10% penalty per day for lateness Hand in the hard paper copies by the due date. Please do not email the assignment. 20 9 "x" is the logarithm of "y" to the base "b Special cases: round to 4 significant digits. Common logarithm: base b=10 Natural logarithm: base b=e=2.718281828 log(5.75×10-¹5) If y=b* then x = log, y 2x+3 = 3 where y> 0, b>0,b=1 In 0.0001236 e Solve for x. Round your answers to 4 significant figures. 10 7 x = log y x = ln y pil of 3 10⁰.1.x = 0.5 y=10* y=e*
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