Continuing with the Laws of Logarithms

If 3^x = y, which of the following is true?

• log₃y = x
• log₃x = y
• log_xy = 3
• log_y3 = x

Simplify: log(24) - log(8)

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

Simplify: 3log(xy) - 2log(x)

• log(xy³)
• log(y)
• 1.5log(x²y)
• Can't be simplified

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Evaluate log_b(1)

• 0
• 1
• -1
• b

Evaluate log_b(b)

• -1
• 0
• 1
• b

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Condense

• A
• B
• C
• D

Rewrite 3⁴ = 81 in logarithmic form.

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

• A
• B
• C
• D