Solve the exponential equation. Give answers correct to 3 decimal places.
A)1.159
B)0.093
C)10.714
D)-0.093
E)-0.424

Question

Solve the exponential equation. Give answers correct to 3 decimal places. ​  ​
A)1.159 
B)0.093 
C)10.714 
D)-0.093 
E)-0.424

Quizplus · Accepted Answer

To solve the equation, we can take the natural logarithm of both sides: ln(2x+1) = -0.15x. Then, we can use properties of logarithms to simplify: x ln(2) = -ln(2x+1)/15. Solving for x, we get x = -ln(2x+1)/(15 ln(2)). Using a calculator, we can approximate x to be 1.159.

Solve the Exponential Equation