Question

The best answer:
What is the solution of 4x-2_42x-10

Answer 1

the solution to the equation is x = 4/19.

Explanation:

To solve the equation 4x - 2 = 42x - 10, we can start by simplifying it. Let's combine like terms on both sides of the equation by subtracting 42x from both sides and adding 2 to both sides:

4x - 42x - 2 + 2 = 42x - 42x - 10 + 2

This simplifies to:

-38x = -8

Next, we can isolate the variable x by dividing both sides of the equation by -38:

(-38x) / -38 = (-8) / -38

Simplifying further gives us:

x = 8/38

To reduce the fraction to its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

x = (8/2) / (38/2)

This simplifies to:

x = 4/19

Answer 2

x = 8

Explanation:

given the equation

`4^(x-2)` =
`4^(2x-10)`

since the bases on both sides are equal, both 4 , thenequate the exponents

2x - 10 = x - 2 ( subtract x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8