Alg 2 02 Unit 7a Test A: Exponential and Logarithms Functions

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18 questions
3

Which functions represent exponential growth? Check all that apply.

8
Graph ONE of the following 3 functions and identify the key charasteristics. Fill in the x and y table.

Domain: x _______
Range: y > _______
y-intercept: (_______ ,_______ )
Asymptote: y=_______
2

Which is equivalent to
5^{x}=32

2

Which is equivalent to log_{3}18=x+2

2

The expression log_{25}5 is equivalent to which of the following

2

Solve for x:
9^{3x-7}=9^{5-x}

2

Solve for x
\frac{1}{27} =3^{4m-1}

3

Slove for n:
4^{3}\cdot4^{2n-9}=64

1

Solve: log 1000

1

Solve log_{3}92 (put your answer to 3 decimal places)

2

Which is equivalent to log(\frac{b^3}{a})

2

Which is equivalent to the expression:
2log x-2(log y+log y)

2

Simplify the expression below
log_{2}2+log_{3}27

3

Simplify (condense) 3log_4{8} - 5log_{4}2 (your answer should have a log)

3

OPTIONAL: Condense, then use the change of base formula to evaluate the logarithm (your answer should be a number to 4 decimal places)

log_{2}27+log_{2}4-2\cdot log_{2}3

2

OPTIONAL: Expand the expression (HINT: your answer should have a minus sign and no exponents)
log(\frac{x^9}{y^4})

3

OPTIONAL Expand

8
OPTIONAL: Graph the following functions and identify the key charasteristics. Fill in the x and y table.

Domain: x> _______
Range: y is _______
y-intercept: (_______ ,_______ )
Asymptote: x=_______