Solving Logarithmic Equations: Key Concepts and Techniques

What is the value of x when log base 2 of 16 equals x?

• 2

• 4

• 8

• 16

Tags

CCSS.HSF.BF.B.5

What is the result of converting log base 5 of x equals 3 to its exponential form?

• x = 15

• x = 25

• x = 125

• x = 625

Tags

CCSS.HSF.BF.B.5

How do you solve log base x of 81 equals 4 for x?

• 4

• 3

• 81

• 9

Tags

CCSS.HSF.BF.B.5

If log base 7 of (x^2 + 3x + 9) equals 2, what are the possible values of x?

• 8 and -5

• 5 and -8

• -5 and 8

• -8 and 5

What is the value of x if ln x equals 7?

• e^5

• e^6

• e^7

• e^8

Tags

CCSS.HSF.BF.B.5

What does e^7 approximately equal to when solving ln x = 7?

• 1096.65

• 1096.63

• 1097

• 1100

Tags

CCSS.HSF.BF.B.5

If log base 2 of x plus log base 2 of x plus 4 equals 5, what is x?

• 16

• 8

• 4

• -8

For the equation log base 2 of (x + 3) - log base 2 of (x - 3) = 4, what is x?

• 17/5

• 10

• 51/15

• 5

What is the value of x when log base 3 of 5x plus 2 equals log base 3 of 7x minus 8?

• 2

• 3

• 4

• 5

What is the value of x when log x raised to the log x equals 49?

• None of the above

• 10^-7

• 10^7

• Both 10^7 and 10^-7