AnswersMathematics IIISolving Equations Using Properties of Logarithms

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

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

A
2 times open paren x plus 1 close paren is equal to 3
B
x plus 1 is equal to 2 cubed
C
x plus 1 is equal to 3 squared
D
3 times open paren x plus 1 close paren is equal to 2
5

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 negative 8
B
x is equal to negative 4
C
x is equal to 8
D
x is equal to 4
6

Which of the following illustrates the product rule for logarithmic equations?

A
log sub 2 of 4 x is equal to the log base 2 of 4 plus the log base 2 of x
B
log sub 2 of 4 x is equal to the log base 2 of 4 minus the log base 2 of x
C
log sub 2 of 4 x is equal to log sub 2 times 4 times log sub 2 x
D
log sub 2 of 4 x is equal to log sub 2 times 4 divided by log sub 2 x
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 3
B
x is equal to 8
C
x is equal to negative 3
D
x is equal to negative 8
9

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
4 raised to the log sub 4 of open paren x plus 6 close paren power is equal to 4 to the 4th power
B
log sub 4 of open paren x plus 6 close paren is equal to the log base 4 of 16
C
log sub 4 of open paren x plus 6 close paren is equal to the log base 2 of 16
D
4 raised to the log sub 4 of open paren x plus 6 close paren power is equal to 2 squared
10

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

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

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