Simplifying Logarithmic Expressions Without a Calculator

What is the logarithm of any base of 1?

• 1

• 0

• The base itself

• Undefined

How can you rewrite log(a^b) using logarithmic properties?

• a * log(b)

• log(a) - log(b)

• b * log(a)

• log(a) + log(b)

What is the result of ln(e)?

• e

• Undefined

• 1

• 0

Simplify e^(ln(5)).

• ln(5)

• 1

• e

• 5

What is the simplified form of e^(5 * ln(2))?

• 10

• 32

• 2^5

• 5^2

What is the value of log base 2 of 32?

• 6

• 5

• 2

• 4

What is the value of log base 49 of 7?

• 1/2

• 1/7

• 2

• 7

Solve for x: ln(x^2) = ln(4x + 5).

• x = 5 or x = -1

• x = 5

• x = -1

• x = 4

What is the solution to the equation e^(x) = 3?

• x = 3

• x = ln(3)

• x = e^3

• x = 1/3

What is the simplified form of e^(ln(1/e))?

• 1

• e

• 1/e

• 0