Solving exponential equations

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

Solve for p:
4^p+2 = 64

• p = -16/9
• p = 1
• p = 8
• p = 7/6

Solve for a:
5^{a + 2} = 1/125

• -1
• -6/7
• -5
• 4

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶
• 6³
• 6²
• 3¹²

Solve

• -1/3

• -3

• -1

• 3

Solve the following exponential equation:

 $7^{-x}=49$  

•  $x=1$  

•  $x=-1$  

•  $x=2$  

•  $x=-2$  

How would you solve an exponential equation like the one below:

 $36=6^x$  

• Rewrite  $36$  as  $6^2$  

• Set the exponents equal to each other

• Rewrite  $36$  as  $6^3$  

• Multiply the exponents

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. When necessary round to the nearest hundredth.

 $4^x-6=10$