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Solving Equations Using Properties of Logarithms — Quiz Answers

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Which statement is true for log sub 3 times open paren x plus 1 close paren is equal to 2 ?

A
x plus 1 is equal to 3 squared
B
2 times open paren x plus 1 close paren is equal to 3
C
3 times open paren x plus 1 close paren is equal to 2
D
x plus 1 is equal to 2 cubed
2
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Which of the following illustrates the product rule for logarithmic equations?

A
log sub 2 of 4 x is equal to log sub 2 times 4 divided by log sub 2 x
B
log sub 2 of 4 x is equal to log sub 2 times 4 times log sub 2 x
C
log sub 2 of 4 x is equal to the log base 2 of 4 minus the log base 2 of x
D
log sub 2 of 4 x is equal to the log base 2 of 4 plus the log base 2 of x
3

What is the solution to log sub 2 of 9 x minus the log base 2 of 3 is equal to 3 ?

A
x is equal to 9
B
x is equal to 3
C
x is equal to 8 thirds
D
x is equal to 3 eighths
4

Which logarithmic equation has the same solution as x minus 4 is equal to 2 cubed ?

A
log 2 cubed is equal to open paren x minus 4 close paren
B
log sub 2 times open paren x minus 4 close paren is equal to 3
C
log sub 3 times open paren x minus 4 close paren is equal to 2
D
log 3 squared is equal to open paren x minus 4 close paren
5

Which of the following shows the equation log sub 4 of open paren x plus 6 close paren is equal to 2 rewritten using logarithms?

A
log sub 4 of open paren x plus 6 close paren is equal to the log base 2 of 16
B
4 raised to the log sub 4 of open paren x plus 6 close paren power is equal to 4 to the 4th power
C
4 raised to the log sub 4 of open paren x plus 6 close paren power is equal to 2 squared
D
log sub 4 of open paren x plus 6 close paren is equal to the log base 4 of 16
7

What is the solution to log sub 3 of open paren x plus 12 close paren is equal to log sub 3 of 5 x ?

A
x is equal to 8
B
x is equal to negative 8
C
x is equal to negative 3
D
x is equal to 3
8

What is the solution to 4 raised to the log sub 4 of open paren x plus 8 close paren power is equal to 4 squared ?

A
x is equal to 8
B
x is equal to negative 4
C
x is equal to negative 8
D
x is equal to 4

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