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L&E, 2ADV E1 2013 HSC 9 MC

What is the solution of   `5^x=4`?

  1. `x=(log_2 4)/5`
  2. `x=4/(log_2 5)`
  3. `x=(log_2 4)/(log_2 5)`
  4. `x=log_2(4/5)`
Show Answer Only

 `C`

Show Worked Solutions
`5^x` `=4`
`log_2 5^x` `=log_2 4`
`x  log_2 5` `=log_2 4`
`:.x` `=(log_2 4)/(log_2 5)`

 
`=>C`

Filed Under: Log Laws and Equations (Y11), Log/Index Laws and Equations, Log/Index laws and Other Equations, Logarithms Tagged With: Band 4, num-title-ct-patha, num-title-qs-hsc, smc-4243-50-Change of base, smc-6455-20-Logs - Power Rule, smc-963-20-Log - power rule

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