solving exponential equations

Solve for x:
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

Solve the following exponential equation:
 $4^{p+2}=64$  

•  $p=-1$  

•  $p=1$  

•  $p=\frac{1}{2}$  

•  $p=\frac{7}{6}$  

How would you solve an exponential equation like the one below:
 $3^{x+7}=27^{-3x-1}$  

• Rewrite  $27$  as  $3^3$  

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

Solve the following exponential equation:
 $9^{8-x}=27^{x-3}$  

•  $x=5$  

•  $x=-5$  

•  $x=\frac{1}{5}$  

•  $x=-\frac{1}{5}$