SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Logarithm, SMB-020

Solve  `4^(x+1)=32`  for `x`.  (2 marks)

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

Show Answers Only

`3/2`

Show Worked Solution
`4^(x+1)` `=32`  
`log_10 4^(x+1)` `=log_10 32`  
`(x+1) log_10 4` `=log_10 32`  
`x+1` `=(log_10 32)/(log_10 4)`  
`x` `=5/2-1`  
  `=3/2`  

Filed Under: Logarithms Tagged With: num-title-ct-patha, smc-4243-70-Solve exponentials

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