What is the answer to 2^{6x+12}=32^{2x+4} ?

The answer to 2^{6x+12}=32^{2x+4} is x=-2

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2^{6x+12}=32^{2x+4}

2^{6 x + 12} = 3 2^{2 x + 4}

x = - 2

Solution steps

2^{6 x + 12} = 3 2^{2 x + 4}

Apply exponent rules

6 x + 12 = 5 (2 x + 4)

Solve

6 x + 12 = 5 (2 x + 4) : x = - 2

x = - 2

40 = 2^{x}

5^{3 x + 1} = 6^{2 x + 1}

1^{x} = 1.2

e^{a^{5}} = 2.4

2 e^{a^{8}} - 8 = 64

What is the answer to 2^{6x+12}=32^{2x+4} ?
The answer to 2^{6x+12}=32^{2x+4} is x=-2
Solve for x: 2^{6x+12}=32^{2x+4}
The solution is x=-2