SOLUTION: I have problems solving the following equation Problem : 19^(1-x)= 12 In terms of log or ln or correct to four decimal places

Question 193107: I have problems solving the following equation
Problem :
19^(1-x)= 12
In terms of log or ln or correct to four decimal places
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Take the log base 10 of both sides

Pull down the exponent

Divide both sides by .

Use the change of base formula to rewrite the right side

Subtract 1 from both sides.

Multiply EVERY term by -1 to isolate "x"

So the solution is which approximates to

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