Logs and Log Properties

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

find the asymptote: y = log₁₀ (x+3)

• x=-3

• x=3

• y=-3

• y=3

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Solve for x using logs: 6^3x - 3 = 56

• 2.2757

• 1.3592

• 0.7586

• 0.5903

Find the inverse of the function f(x)=5^(x+2)

• f^-1(x)=log₅(x-2)

• f^-1(x)=log₅(x)-2

• f^-1(x)=log₅(x)+2

• f^-1(x)=log₅(x+2)

What kind of asymptotes do logs have?

• horizontal ( y=0)

• vertical (x=0)