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Algebra

Exponential Functions

Concept Quizzes

Rules of Exponents - Numerical
Exponential Equations
Graphs of Exponential Functions
Exponential Functions - Growth and Decay
Exponential Functions - Problem Solving

Challenge Quizzes

Exponential Functions: Level 1 Challenges
Exponential Functions: Level 2 Challenges
Exponential Functions: Level 3 Challenges
Exponential Functions: Level 4 Challenges

Exponential Functions: Level 3 Challenges

$\Huge \sqrt{\color{#D61F06}9^{\color{#20A900}{16} \color{#3D99F6}{x^2}}}$

Which of the following is equal to the above expression?

\Large{ 3 }^{ 4{ x } }

\Large{ 3 }^{ 8{ x }^{ 2 } }

\Large{ 9 }^{ 4{ x } }

\Large { 9 }^{ 8{ x }^{ 2 } }

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by Julian Uy

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$\large A = 2^{5555}, \qquad B = 3^{3333}, \qquad C = 6^{2222}$

What is the order of these numbers from smallest to largest?

C<B<A

A<B<C

A<C<B

B<A<C

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by Aman Baser

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If $2^x = 3^y = 6,$ then which of the following statements is true?

x-y = xy

xy=x/y

y-x = xy

x+y = xy

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by MohamEd Ashraf

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Find the sum of all integer solutions to the equation

$\large (x^2 - 3x + 1)^{x + 1} = 1.$

3

9

0

-1

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by Dev Sharma

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If you have a piece of paper that is $0.1\text{ mm}$ thick, then how many times will you have to fold it in half in order for it to become tall enough to reach the moon?

Note: The distance from the earth to the moon is $384400\text{ km}$ .

You have to round off the answer that you are getting to get the answer that you will enter in the answer box.

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by Prateek Mehra

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