Logarithmic and Exponential Review

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Convert Log₂(64) = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

Convert Log_a(100) = 2 to an exponent

• 100² = a

• 2^a = 100

• a² = 100

• a¹⁰⁰ = 2

Convert x⁴ = 81 to a Log

• Log₈₁(x) = 4

• Log₄(81) = x

• Log_x(81) = 4

• Log₄(x) = 81

8^3x+3 = 8⁶

• x=28

• x=3

• x=1

• x=12