Resources

Resources

Convert between exponential and logarithmic form: rational bases

40

000

500

Convert the exponential equation in logarithmic form.

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15^3 = 3375

Convert the exponential equation in logarithmic form.

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3^4 = 81

Convert the exponential equation in logarithmic form.

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5^3 = 125

Solve the equation

4\times3^{33}=4x^2

Combine the like terms to create an equivalent expression.

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5z-3+3z=

\square

Without dividing, determine if

20

035

is divisible by

9

and explain how you know.

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20,035 \square \text { divisible by } 9

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8500 \times 10

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1300 \times 10

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500 \div 10

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5500 \times 10

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4500 \times 10

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1900 \times 10

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4525 \div 1000

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Rewrite this number in decimal notation without the use of exponents or scientific notation:

8.839\times10^{10}

Determine the intercepts of the line. Do not round your answers.

y=11x+6

Write an exponential function in the form

y=a b^{x}

that goes through the points

(0,7)

(3,3584)

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Find the equation of the axis of symmetry of the following parabola using graphing technology.

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y=-x^{2}+3

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Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an

(x, y)

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y=x^{2}+3

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Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an

(x, y)

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y=x^{2}+2 x+3

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As a fraction in simplest terms, what would you multiply the first number by to get the second?

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27

15

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27 \cdot \square=15

As a fraction in simplest terms, what would you multiply the first number by to get the second?

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42

67

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42 \cdot \square=67

B

is a scaled copy of Polygon

A

using a scale factor of

5

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How many times as large is the area of Polygon

B

compared to the area Polygon

A

\log _{4} 256=

The value of Vishal's car is depreciating exponentially.

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The relationship between

V

, the value of his car, in dollars, and

t

, the elapsed time, in years, since he purchased the car is modeled by the following equation.

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V=22,500 \cdot 10^{-\frac{t}{12}}

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How many years after purchase will Vishal's car be worth

\$ 10,000

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Give an exact answer expressed as a base

-10

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Convert the exponential equation in logarithmic form.

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9^3 = 729