In exercise, solve the equation.
10e2x+1 = 900

Step-by-step explanation:

Background info:  If e^x = b, then x = ln b.

The given 10e2x+1 = 900 can be simplified by dividing both sides by 10:

e^(2x+1) = 90

Taking the natural log of both sides (using the property given above), we get:

2x + 1 = ln  90

Solving for 2x:

2x = ln 90 - 1

Solving for x:

       ln 90 - 1

x =

              2

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97

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