Solving Log Equations using Properties

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

 Expand logarithm

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Solve

log (x) + log (x) = log (25)

• -5, 5

• 5

• -5

• 25

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

log7+log(x²-4)=log35

• 1, -1
• 2, -2
• 3, -3
• 4, -4

Condense

• A
• B
• C
• D

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

Solve using the properties log₅x - log₅2 = log₅15

• 6

• 8

• 15

• 30

I can solve logarithmic and exponential equations.

• A
• B
• C
• D

Condense: log ₂ 3 + 4log ₂ x - 6 log ₂ y

• log ₂ 2xy

• log ₂ (3x⁴/y⁶)

• log ₂ (3/x⁴y⁶)

• log ₂ (3/y⁴x⁶)