Question

16=86(0.83)^x
Solve for x.
Please show the steps. That's what i need.

Answer 1

`x=8.83`

Explanation:

• Initial equation:
  `16= 86 (0.83^x)`
• Dividing both sides by 86 leads you to
  `(16)/(86) = 0.83^(x)` which is equal to
  `0.1927 = 0.83^(x)`
• Then, all you have to do is take natural logarithm both sides:
  `ln (0.1927) = x ln (0.83)` which is a result of applying natural logarithm properties (particulary the property that affirms that
  `ln (m^n) = n \plus {ln(m)}`)
• Finally,
  `x = (ln( 0.1927))/(ln(0.83)) = 8.83`.