Solving exponential and logarithmic equations in exercise, solve for x.
2 in x + in(x - 2) = 0

The value of x is about 2.206.

Step-by-step explanation:

Consider the given equation is

We need to find the value of x.

Using the properties of logarithm we get

On comparing both sides we get

Using graphing calculator, the real solution of the above equation is

Therefore, the value of x is about 2.206.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1