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

3

Which functions represent exponential growth? Check all that apply.

8

Graph ONE of the following 2 functions and identify the key characteristics. Fill in the x and y table:

OPTION 1:

OPTION 2:

Graph ONE of the following 2 functions and identify the key characteristics. Fill in the x and y table

Domain: x

Range: y >

y-intercept: ( , )

Asymptote: y=

2

Which is equivalent to
4^{x}=42

log_{4}x=42

log_{42}4=x

log_{4}42=x

log_{x}4=42

2

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

3^{18}=x+2

18^{3}=x+2

18^{x+2}=3

3^{x+2}=18

2

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

5

1/2

2

1/5

2

Solve for x:
5^{4n-5}=5^{n+7}

2

Solve for x
(\frac{1}{3})^{2x} =81^{2x+5}

3

Solve for x:
9^{2}\cdot9^{2x+4}=\frac{1}{81}

1

Solve: log 100

1

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

2

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

2

4

5

29

2

Which is equivalent to log(\frac{b^2}{a})

2\cdot log b-log a

log 2b-log a

2\cdot(logb-loga)

2\cdot log b+log a

2

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

log(\frac{x^2}{y^4})

log(\frac{x}{y})^2

log(\frac{y^2}{x^4})

log(xy)^2

3

Simplify (condense) 3log_2{4} - 5log_{2}2 (your answer should have a log)

3

Condense, then use the change of base formula to evaluate the logarithm (your answer shoudl be a number to 4 decimal places)
3log_{4}8+log_{4}15-2\cdot log_{4}3

2

OPTIONAL: Expand the expression
log(\frac{x^9}{y^4})^2

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=

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

Which functions represent exponential growth? Check all that apply.

Which is equivalent to4^{x}=42

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

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

Solve for x:5^{4n-5}=5^{n+7}

Solve for x(\frac{1}{3})^{2x} =81^{2x+5}

Solve for x:9^{2}\cdot9^{2x+4}=\frac{1}{81}

Solve: log 100

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

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

Which is equivalent to log(\frac{b^2}{a})

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

Simplify (condense) 3log_2{4} - 5log_{2}2 (your answer should have a log)

Condense, then use the change of base formula to evaluate the logarithm (your answer shoudl be a number to 4 decimal places)3log_{4}8+log_{4}15-2\cdot log_{4}3

OPTIONAL: Expand the expressionlog(\frac{x^9}{y^4})^2

OPTIONAL Expand

Which functions represent exponential growth? Check all that apply.

Which is equivalent to4^{x}=42

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

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

Solve for x:5^{4n-5}=5^{n+7}

Solve for x(\frac{1}{3})^{2x} =81^{2x+5}

Solve for x:9^{2}\cdot9^{2x+4}=\frac{1}{81}

Solve: log 100

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

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

Which is equivalent to log(\frac{b^2}{a})

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

Simplify (condense) 3log_2{4} - 5log_{2}2 (your answer should have a log)

Condense, then use the change of base formula to evaluate the logarithm (your answer shoudl be a number to 4 decimal places)3log_{4}8+log_{4}15-2\cdot log_{4}3

OPTIONAL: Expand the expressionlog(\frac{x^9}{y^4})^2

OPTIONAL Expand

Which is equivalent to
4^{x}=42

Solve for x:
5^{4n-5}=5^{n+7}

Solve for x
(\frac{1}{3})^{2x} =81^{2x+5}

Solve for x:
9^{2}\cdot9^{2x+4}=\frac{1}{81}

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

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

Condense, then use the change of base formula to evaluate the logarithm (your answer shoudl be a number to 4 decimal places)
3log_{4}8+log_{4}15-2\cdot log_{4}3

OPTIONAL: Expand the expression
log(\frac{x^9}{y^4})^2

Which is equivalent to
4^{x}=42

Solve for x:
5^{4n-5}=5^{n+7}

Solve for x
(\frac{1}{3})^{2x} =81^{2x+5}

Solve for x:
9^{2}\cdot9^{2x+4}=\frac{1}{81}

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

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

Condense, then use the change of base formula to evaluate the logarithm (your answer shoudl be a number to 4 decimal places)
3log_{4}8+log_{4}15-2\cdot log_{4}3

OPTIONAL: Expand the expression
log(\frac{x^9}{y^4})^2