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Laabri

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

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Last updated over 3 years ago
18 Nsɛmmisa
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1.

Which functions represent exponential growth? Check all that apply.

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2.

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=

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3.

Which is equivalent to

4^{x}=42

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4.

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

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5.

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

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6.

Solve for x:

5^{4n-5}=5^{n+7}

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7.

Solve for x

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

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8.

Solve for x:

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

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9.

Solve: log 100

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10.

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

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11.

Simplify the expression below

log_{2}2+log_{3}27

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12.

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

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13.

Which is equivalent to the expression:

2log x-2(log y+log y)

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14.

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

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15.

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

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16.

OPTIONAL: Expand the expression

log(\frac{x^9}{y^4})^2

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17.

OPTIONAL Expand

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18.

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=