Chapters 7 & 8 Review

Rewrite the following in exponential form: log₁₆256 = 2

• 256²=16

• 2¹⁶=256

• 16²=256

• 2²⁵⁶=¹⁶

Rewrite the following in logarithmic form: 4² = 16.

• log₄2=16

• log₁₆2=4

• log₂4=16

• log₄16=2

Rewrite, then evaluate the expression: log₄64.

• A) -3

• B) 6

• C) 16

• D) 3

Rewrite, then evaluate the expression: log₇(1/49)

• A) -2

• B) -5

• C) 1/343

• D) 2

Condense the expression to a single logarithm.

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Expand the expression.

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Solve the equation using a common base: 3³ⁿ=243

Solve the equation using a common base: 4^2a+2 = 16.

Solve the logarithmic equation: -1 + log₇9x = 3.

• 16/3

• 6

• -49

• 2401/9

Solve the logarithmic equation: 10log₅ -x = -30.

• 1/18

• 6

• -125

• 2401/9