Practice Solving Exponential Equations

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

• 3⁶
• 6³
• 6²
• 3¹²

Tags

CCSS.6.EE.A.1

To solve, 16^5x = 64^x+7, what would be the correct set-up?

There is more than one correct answer.

• 4^4(5x)=4^16(x+7)

• 8^2(5x)=8^8(x+7)

• 4^2(5x)=4^3(x+7)

• 2^4(5x)=2^6(x+7)

Tags

CCSS.HSA.CED.A.1

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

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

81^3-x = (1/3)^5x-6

• 6
• -6
• 9/2
• 3/2

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve

• 2

• -2

• 3

• -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.4

Solve for x. Remember when you can't get a common base take the log or ln of both sides.

 $9^x=87$  

• 1.9395

• 4.4659

• 2.0325

• No solution

Solve for x. You must isolate the exponential term before taking the log or ln.

 $\frac{1}{2}\left(5\right)^{\left(x-6\right)}=312.5$  

• 6

• 8

• 10 

• No solution

Solve for x. Isolate, then take the ln when e is the base.

5 e^6x+3 = 0.1

• -1.152

• 0.232

• -3.077

• -0.854

Solve the equation. Round your answer to the nearest ten-thousandth. $20^{-5a}-6=37$  

• -0.2511

• -0.7522

• -0.3267

• -0.7907

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
6 - e^12x  = 5.2

• -0.019
• -0.102
• No Solution
• 7.777

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4