Log(x+1)−log(x−8)=log(10)

How do i solve this?

9514 1404 393

  x = 9

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a) -log(b) = log(a/b)

__

Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.

  log(x+1) -log(x-8) = log(10)

  log((x+1)/(x-8)) = log(10)

  (x +1)/(x -8) = 10 . . . . . . . take antilogs

  x +1 = 10(x -8) . . . . multiply by x-8

  81 = 9x . . . . . . . add 81-x, simplify

  9 = x . . . . . . . . . divide by 9

_____

When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.

77

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq