Solving Logarithmic/Exponential Equations

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Tags

CCSS.HSF.BF.B.5

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3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

log₅ (2x - 3)² = 6

• x = 128
•  x = 64
• x = 4
• x = 14

Using the change of base rule, what is this logarithm equivalent to?

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Re-write in log form 2⁶=64

• log₂6=64
• log₂64=6
• log₆₄2=6
• log₆₄6=2

Tags

CCSS.HSF.BF.B.5

Write as one logarithm. Simplify, if possible.

log₃9 + log₃27

• log₃3

• log₃243

• log₃1/3

• not possible

Expand the logarithm expression

log₅5x^-5

• -5(log₅5x)

• -5log₅5 + log₅x

• log₅25x

• log₅5 - 5log₅x

Expand the logarithm
log₇ x³/y⁴

• log₇ x³ - log₇ y⁴
• log₇ x³ + log₇ y⁴
• 3log₇ x - 4log₇ y
• (3log₇ x) / (4log₇ y⁾