Evaluating Logs and Rewriting

Rewrite the following exponential equation in logarithmic form.

If I want to use the change of base formula of logarithms to evaluate the following, how would I rewrite this?

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

Solve:

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

• 7

• 4/9

• 9/4

• 1/7

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01

log₉(10)-log₉(x-3) =log₉(72)

• 81/16

• 113/36

• No Solution

• 92/15

log₉(x)+log₉(x+2)=log₉(35)

• 5

• -7

• 5, -7

• -7, -13

log₅x - log₅(x+4)=log₅38

• -152/37, -8

• 1/2

• -152/37

• No Solution