Question

Please explain your steps as I'm a bit confused about the process... thanks!!!

Answer 1

• x = -1.5056

Explanation:

To solve this equation log both sides and apply log rules.

• 
  `14^(x-7)=12^(6x)`
• 
  `log14^(x-7)=log12^(6x)`
• 
  `(x - 7)log14=6xlog12`

Substitute the values of logs:

• 
  `(x - 7)*1.1461 = 6x*1.0791`

Solve it as linear equation:

• 
  `1.1461 x - 7*1.1461 = 6.4746x\\`
• 
  `1.1461x - 6.4746x = 8.0227`
• 
  `-5.3285x = 8.0227`
• 
  `x = 8.0227/-5.3285`
• 
  `x = -1.5056`