Laws Of Logarithms

If 3^x = y, which of the following is true?

• log₃y = x
• log₃x = y
• log_xy = 3
• log_y3 = x

If log_a8 = b, which of the following is true?

• a^b = 8
• b^a = 8
• a⁸ = b
• 8^b = a

Simplify log(12) + log (6)

• log(72)
• log(18)
• log(6)
• log(2)

Simplify: log(3) + 2log(5)

• log(75)
• 2log(15)
• log(30)
• log(13)

Simplify: 2log(x) + 3log(xy)

• log(x⁵y³)
• log(5xy)
• 5log(x²y)
• log(6x²y)

What is the most simple answer possible:
log_x(x³y) - log_x(xy)

• log_x(x²)
• 2
• log_x(x⁴-y²)
• x

Simplifying using the laws of logarithms

• log(10)

• log(21)

• log(343)

• log(4)

Evaluate

• -1

• 5

• 1

• -5

Expand

• A
• B
• C
• D