Solving Logarithmic Equations in Algebra II

What is the implicit base of a logarithm if no base is mentioned?

• 2

• e

• None of the above

• 10

Which property combines two logarithms with the same base into a single logarithm of a product?

• Logarithm of a product

• Logarithm of a quotient

• Logarithm of a power

• None of the above

How can log_a(b^c) be rewritten using another logarithm property?

• c log_a(b)

• log_a(b)/c

• log_a(bc)

• log_a(b+c)

What does the property log_a(b) - log_a(c) equal?

• log_a(bc)

• log_a(b^c)

• log_a(b+c)

• log_a(b/c)

What is the simplified form of log(x) + log(3)?

• log(3x)

• log(x/3)

• log(x^3)

• log(3) + x

Which operation is used to combine log(x) + log(3) according to logarithm properties?

• Subtraction

• Multiplication

• Addition

• Division

What does 2 log(4) - log(2) simplify to?

• log(8)

• log(4)

• log(16/2)

• log(2)

What is the result of simplifying 2 log(4) - log(2)?

• log(16)

• log(8)

• log(4)

• log(2)

If log(3x) = log(8), what is the value of x?

• 11/3

• 24

• 3/8

• 8/3

How is the equation log(3x) = log(8) solved for x?

• By dividing both sides by 3

• By subtracting 8 from both sides

• By multiplying both sides by 3

• By adding 3 to both sides