Tutorial - Solving logarithmic equations ex 14, log(7x+1)=log(x-2)-1

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't you simply cancel out logarithms on both sides of an equation if there are additional terms?
Because it is a rule of algebra.
Because it simplifies the equation too much.
Because logarithms are always equal.
Because it violates the properties of logarithms.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property of logarithms allows you to combine the subtraction of two logarithms into a single logarithm?
Product property
Power property
Quotient property
Equality property
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the base of a common logarithm?
Base e
Base 10
Base 2
Base 5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the equation after rewriting the logarithmic expression as a quotient?
Subtract 7X from both sides
Multiply by the denominator on both sides
Add 1 to both sides
Divide by 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final value of X in the solved equation?
X = 10
X = 7
X = 21
X = 3
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