Question

Solve for x in the equation:
143=660(0.955)^(0.56x)-77

Answer 1

To solve for x, add 77 to both sides, divide by 660, take the logarithm of both sides using base 0.955, and finally divide by 0.56 to get the value of x.

Step-by-step explanation:

To solve for x in the equation 143=660(0.955)^(0.56x)-77, we need to isolate the term with x on one side of the equation.

First, let's add 77 to both sides: 143 + 77 = 660(0.955)^(0.56x).

Next, divide both sides by 660: 220/660 = (0.955)^(0.56x).

Now, take the logarithm of both sides using the base 0.955: log(base 0.955) (220/660) = 0.56x.

Finally, divide both sides by 0.56 to solve for x: x = log(base 0.955) (220/660) / 0.56.