Logarithmic Equations Type 1

log(2x) - log(5) = log(30)

• 6/5

• 45/2

• 75

• -3/8

log(4x) - log(4) = log(12)

• 12

• 4

• 10

• 100

• A
• B
• C
• D

• A
• B
• C
• D

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Solve the equation for x (hint: simplify first)

• 458.38

• 25

• 3,051,757,813

• -0.845

log₅ (2x - 3)² = 6

• x = 128

•  x = 64

• x = 4

• x = 14

This question is SLIGHTLY a challenge but you should all be able to do it!! 
log x - log 8 = 3

• x = 1000

• x = 800

• x = 8000

• x = 100

Re-write in log form 2⁶=64

• log₂6=64

• log₂64=6

• log₆₄2=6

• log₆₄6=2

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t