What is the answer to 27^{2x}=3^{x-7} ?

The answer to 27^{2x}=3^{x-7} is x=-7/5

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27^{2x}=3^{x-7}

2 7^{2 x} = 3^{x - 7}

x = - \frac{7}{5}

Decimal Notation

x = - 1.4

Solution steps

2 7^{2 x} = 3^{x - 7}

Apply exponent rules

6 x = x - 7

Solve

6 x = x - 7 : x = - \frac{7}{5}

x = - \frac{7}{5}

1600 = 1 0^{x}

4^{3 x} = 8^{x + 1}

(2^{x^{2} - 2 x})^{4 - x} = 1

100 0^{x} = 10

2 \times 5^{x} = 250