12 5 x ⋅ 2 5 2 x + 1 = ( 1 5 ) x + 6 125^x\cdot25^{2x+1}=\left(\frac{1}{5}\right)^{x+6} 1 2 5 x ⋅ 2 5 2 x + 1 = ( 5 1 ) x + 6 Solve.

− 18 6 -\frac{18}{6} − 6 1 8

EXPONENTIAL EQUATION Quiz: 10 Practice Questions (Grade 11)

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve .
$2^{2x+3}=128$

-2

$-\frac{3}{2}$

$\frac{3}{2}$

2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$3_{ }^{3x+1}=3^{x+3}$
Solve.

4

3

2

1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve.
$\sqrt{3^x}=9$

-4

$-\frac{1}{4}$

$\frac{1}{4}$

4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$125^x\cdot25^{2x+1}=\left(\frac{1}{5}\right)^{x+6}$
Solve.

$-\frac{18}{6}$

-1

1

$\frac{18}{6}$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve.
$\left(\frac{1}{8}\right)^{3x}=\left(\frac{1}{8}\right)^{x+6}$

1

2

3

4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve.
$3^{x^2+5}=27^{x+1}$

-2,-1

-2,1

2,-1

2,1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve.
$4^{6-9x}=8^{x-3}$

0

1

2

3

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

8.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve.
$4^{5x+2}=\left(\frac{1}{64}\right)$

-2

-1

1

2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

9.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$7^{3-x}=\left(\frac{1}{343}\right)^{ }$

-6

0

1

6

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve.
$\left(\frac{1}{216}\right)^{x-1}=36^x$

-1

$-\frac{3}{5}$

$\frac{3}{5}$

1

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

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EXPONENTIAL EQUATION

Solve . 22x+3=1282^{2x+3}=12822x+3=128

33x+1=3x+33_{ }^{3x+1}=3^{x+3}33x+1​=3x+3 Solve.

Solve. 3x=9\sqrt{3^x}=93x​=9

125x⋅252x+1=(15)x+6125^x\cdot25^{2x+1}=\left(\frac{1}{5}\right)^{x+6}125x⋅252x+1=(51​)x+6 Solve.

Solve. (18)3x=(18)x+6\left(\frac{1}{8}\right)^{3x}=\left(\frac{1}{8}\right)^{x+6}(81​)3x=(81​)x+6

Solve. 3x2+5=27x+13^{x^2+5}=27^{x+1}3x2+5=27x+1

Solve. 46−9x=8x−34^{6-9x}=8^{x-3}46−9x=8x−3

Solve. 45x+2=(164)4^{5x+2}=\left(\frac{1}{64}\right)45x+2=(641​)

73−x=(1343)7^{3-x}=\left(\frac{1}{343}\right)^{ }73−x=(3431​)

Solve. (1216)x−1=36x\left(\frac{1}{216}\right)^{x-1}=36^x(2161​)x−1=36x

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Solve .
$2^{2x+3}=128$

$3_{ }^{3x+1}=3^{x+3}$
Solve.

Solve.
$\sqrt{3^x}=9$

$125^x\cdot25^{2x+1}=\left(\frac{1}{5}\right)^{x+6}$
Solve.

Solve.
$\left(\frac{1}{8}\right)^{3x}=\left(\frac{1}{8}\right)^{x+6}$

Solve.
$3^{x^2+5}=27^{x+1}$

Solve.
$4^{6-9x}=8^{x-3}$

Solve.
$4^{5x+2}=\left(\frac{1}{64}\right)$

$7^{3-x}=\left(\frac{1}{343}\right)^{ }$

Solve.
$\left(\frac{1}{216}\right)^{x-1}=36^x$