Solve the exponential equation.Give the answer correct to 3 decimal places.
A) -0.219
B) 2.033
C) 0.274
D) -2.033
E) -0.224

Question

​Solve the exponential equation.Give the answer correct to 3 decimal places. ​  ​
A) ​-0.219 
B) ​2.033 
C) ​0.274 
D) ​-2.033 
E) ​-0.224

Quizplus · Accepted Answer

We can start by using the laws of exponents to simplify the equation:

4(3x+1) = 5(2-x)

12x + 4 = 10 - 5x

17x = 6

x = 6/17

Now, we can substitute this value of x into the original equation to get:

2^(-2x) = 2^(-2*6/17) ≈ 0.274

Therefore, the answer is choice C) 0.274.

​Solve the Exponential Equation