Solve the exponential equation.

23x = 4x-1

x = -1/19 or -0.052632

Step-by-step explanation:

23x = 4x - 1

1. Subtract 4x from both sides.

23x - 4x = -1

2. Simplify 23x - 4x to 19x.

19x = -1

3. Divide both sides by 19.

x = -1/19

Here is how you can check

23x = 4x -1

1. Let x = -1/19.

23 x -1/19 = 4 x -1/19 -1

2. Use this rule: a x b/c = ab/c.

-23/19 = 4 x -1/19 -1

3. Move the negative sign to the left.

-23/19 = 4 x -1/19 - 1

4. Use this rule: a x b/c = ab/c

-23/19 = -4/19 - 1

5. Move the negative sign to the left.

-23/19 = -4/19 - 1

6. Simplify -4/19 - 1 to -23/19

-23/19 = -23/19

Hope this helps!

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