Solving Logs and Exponentials

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Tags

CCSS.HSF.LE.A.4

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Solve for x:
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.LE.A.4

Solve for x:
8^x+1= 3

• 0.528
• 0.893
• -0.472
• 1.893

Tags

CCSS.7.EE.B.4A

2^x - 5 = 12

• x = 8.5

• x = 4.1

• x = 6.2

• x = 3.9

Use a LOG to solve the exponential function.  
2^x-1 + 5 = 20

• x = 3.91
• x = -0.46
• x = 4.91
• x = 5.31

Expand: log (x²y³)

• 2log x - 3 log y

• 3log x + 2 log y

• 6 log xy

• 2log x + 3 log y