What is the answer to (1/4)^{9x-5}=32^{x+8} ?

The answer to (1/4)^{9x-5}=32^{x+8} is x=-30/23

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(1/4)^{9x-5}=32^{x+8}

(\frac{1}{4})^{9 x - 5} = 3 2^{x + 8}

x = - \frac{30}{23}

Decimal Notation

x = - 1.30434 \dots

Solution steps

(\frac{1}{4})^{9 x - 5} = 3 2^{x + 8}

Apply exponent rules

- 2 (9 x - 5) = 5 (x + 8)

Solve

- 2 (9 x - 5) = 5 (x + 8) : x = - \frac{30}{23}

x = - \frac{30}{23}

2 5^{3 x - 1} = 5

9^{x + 2} = (\frac{1}{27})^{x - 3}

2^{x} = 1.5

4^{x} - 2^{x} - 12 = 0

2 7^{5 x - 4} = 8 1^{7 x - 2}

What is the answer to (1/4)^{9x-5}=32^{x+8} ?
The answer to (1/4)^{9x-5}=32^{x+8} is x=-30/23
Solve for x: (1/4)^{9x-5}=32^{x+8}
The solution is x=-30/23