Logs & Exponents

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

True or False: log₈64=2

• True
• False

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Identify the function as representing exponential growth or decay.
f(x) = 4(0.89)^x

• growth
• decay

Solve for x.
2^x = 16

• 5
• 2
• 3
• 4

Change to Exponential Form:
log₃ 81 = 4

• 81³ = 4
• 81⁴ = 3
• 3⁴ = 81
• 4³ =81

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

Solve for x.
5^x = 1

• 0
• -1
• 2
• 1

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2