SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Logarithms, SMB-004

Solve  `log_2(6-x)-log_2(4-x) = 2`  for `x`, where  `x < 4`.  (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

`10/3`

Show Worked Solution

`text(Simplify using log laws:)`

`log_2((6-x)/(4-x))` `= 2`
`2^2` `= (6-x)/(4-x)`
`16-4x` `= 6-x`
`3x` `= 10`
`:. x` `= 10/3`

Filed Under: Logarithms Tagged With: num-title-ct-patha, smc-4243-10-Product/Quotient rules

Copyright © 2014–2025 SmarterEd.com.au · Log in