What is the answer to (5x+11)^{2x-1}=(5x+11)^{x-6} ?

The answer to (5x+11)^{2x-1}=(5x+11)^{x-6} is x=-2

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(5x+11)^{2x-1}=(5x+11)^{x-6}

(5 x + 11)^{2 x - 1} = (5 x + 11)^{x - 6}

x = - 2

Solution steps

(5 x + 11)^{2 x - 1} = (5 x + 11)^{x - 6}

Apply exponent rules

(2 x - 1) ln (5 x + 11) = (x - 6) ln (5 x + 11)

Solve

(2 x - 1) ln (5 x + 11) = (x - 6) ln (5 x + 11) : x = - 2

x = - 2

2^{2 x} - 5 (2^{x}) + 6 = 0

a^{a} = 2

e^{3 x} = 14

x, f = - 2 ((- 6)^{(x + 5)})

e^{3 x} = 22

What is the answer to (5x+11)^{2x-1}=(5x+11)^{x-6} ?
The answer to (5x+11)^{2x-1}=(5x+11)^{x-6} is x=-2
Solve for x: (5x+11)^{2x-1}=(5x+11)^{x-6}
The solution is x=-2