Laws of Logarithms

Evaluate log_b(b)

• -1
• 0
• 1
• b

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Evaluate log_b(b^x)

• 1
• 0
• x
• b

Simplify log₄4^3x

• 3x
• 3
• 4
• 4^3x

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 
• log₂ 5 + log₂ x 
• 2log 5 + 2log x
• log5 2 + log_x 2

Simplify: log(3) + 2log(5)

• log(75)
• 2log(15)
• log(30)
• log(13)

Simplify: log(24) - log(8)

• log(3)
• log(16)
• 4log(2)
• -log(32)

Simplify: log(16) - 3log(2)

• log(2)
• log(10)
• -3log(8)
• 3log(14)

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7