Quick easy 10 points!!!!!!!!!!!!!

Solve. 11^(x-1) = 11^(5x-19)

equating powers: x-1 = 5x-19
4x = 18
x = 4.5

2. 3^(x-5) = 3^2
x-5 = 2
x = 7

3. 4^3x = 4^(2x-2)
3x = 2x-2
x = -2

lol np

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For 11^(x - 1) to equal 11^(5x - 19), (x - 1) must equal (5x - 19):

x - 1 = 5x - 19

Subtract x from both sides:

-1 = 4x - 19

Add 19 to both sides:

18 = 4x

Divide both sides by 4:

x = 18/4 which reduces to 9/2

This can be reduced to
x-1 = 5x-19

Subtract x from each side.

-1 = 4x-19

Add 19 to each side

4x = 18

x = 4.5

1. x = 4.50
2. x = 8
3. x = -0.333

Observing index laws:

x-1 = 5x-19