Exponential Equations Common Base & Intro to Logarithms

Solve for x using the same base method.
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

If you were solving for x using the same base method, what would be the best base to pick?
9^x+8 = 81

• 9
• 81
• 2
• no common base

Solve for x using the same base method.
3^x-20 = 27

• 17
• 27
• -7
• 23

27^2x = 3^x-7

• -7/3
• -1
• -5/7
• -7/5

Solve: 2^x = 4^x+1

• -2
• 2
• -3
• 3

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

• -1
• -6/7
• -5
• 4

Tags

CCSS.HSF.LE.A.4

Solve for x:
3^2x = 27^{x - 4}

• x = 12
• x = 4
• x = -4
• x = 1

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

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve: 2^x = 4^x+1

• -2
• 2
• -3
• 3

Solve 3³ = (3²)^{2x + 1}

• x = ¼

• x = -¼

• x = ½

• x = -½