Ch 9.1-9.6 Test

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Select all of the ordered pairs that are solutions to the function.

• (3, 5)

• (-3, 1)

• (5, 3)

• (10,3)

• (23, 4)

What is the value of a?

• 8

• 1

• 5

• 13

Which expression is equivalent to ln 12?

• 3 ln 4

• ln 8 + ln 4

• ln 48 - ln 12

• ln 36- ln 3

Which of the following is equivalent to log 20 - log 5?

• 2 log 2

• 2 log 10

• 4 log 10

• 2 log 4

Which expression is equivalent to log (6x)?

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• x (log6)

• log (6). log (x)

• log(6) + log (x)

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

Find the inverse 
f(x)= x⁴ - 2

• f^(-1)(x) = (x^2 - 2)^(1/4)
• f^(-1)(x) = (x + 2)^(1/4)
• f^(-1)(x) = (x + 2)^(1/2)
• f^(-1)(x) = (x - 2)^(1/4)

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other

• x + 20 ; Yes they are inverses

• x + 20 ; No, they are not inverses

• x ; Yes they are inverses

• x ; No, they are not inverses