Solving Exponential Equations Without using Logarithms

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

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

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.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve for n:
2^-2n = 2⁶

• n = -1
• n = -7
• n = 5
• n = -3

Tags

CCSS.8.EE.A.1

CCSS.8.EE.C.7

Solve for x:
12^2x-10 = 1

• 1
• 10
• -5
• 5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve for x:
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Tags

CCSS.8.EE.A.1

7ⁿ⁺¹⁰- 8 = 6

• -7.374
• -8.643
• -7.360
• -8.853

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

What is the value of x, if  3(5^x) = 75?

• 1
• 2
• 3
• 4

4^3v = 1/4

• no solution
• 1
• -1/3
• -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1