If logx(8x-3) -logx^4=2 the value of x is

Step-by-step explanation:

We can simplify this by using the rules of logarithms to

By using another rule of logarithms we can rewrite the equation as

Then we can multiply both sides by 4 to get rid of the fraction on the left side: 8x - 3 = 4x²

Then we can move all the terms to one side so we can have a polynomial to factor out and solve for x: 4x² - 8x + 3 = 0

Factoring this we get (2x - 1)(2x - 3) = 0

Setting each individual part equal to zero we get

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )