Identifying Properties of Logarithms

Using the properties of logarithms, solve the problem: log(x) + log(x + 2) = 3, find the value of x.

• x = 7

• x = 10

• x = 12

• x = 5

Find the value of x in the equation log(2x) = log(8).

• 10

• 4

• 6

• 2

Solve for x in the equation log(3x - 1) = log(27).

• x = 15

• x = 9

• x = 10

• x = 5

Simplify the expression log(4) + log(2).

• log(16)

• log(6)

• log(1)

• log(8)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Use logarithmic properties to simplify the expression log(8) - log(2).

• log(6)

• log(4)

• log(10)

• log(16)