What is the answer to 6^{4x-9}=(1/36)^{x-4} ?

The answer to 6^{4x-9}=(1/36)^{x-4} is x= 17/6

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6^{4x-9}=(1/36)^{x-4}

6^{4 x - 9} = (\frac{1}{36})^{x - 4}

x = \frac{17}{6}

Decimal Notation

x = 2.83333 \dots

Solution steps

6^{4 x - 9} = (\frac{1}{36})^{x - 4}

Apply exponent rules

4 x - 9 = - 2 (x - 4)

Solve

4 x - 9 = - 2 (x - 4) : x = \frac{17}{6}

x = \frac{17}{6}

3^{x + 1} + 9^{x} = 108

3^{7 x + 4} = (\frac{1}{27})^{x - 3}

e^{4 - 4 x} = 5

1 0^{x + 8} = 36

x, e^{x} (y - 2) = y

What is the answer to 6^{4x-9}=(1/36)^{x-4} ?
The answer to 6^{4x-9}=(1/36)^{x-4} is x= 17/6
Solve for x: 6^{4x-9}=(1/36)^{x-4}
The solution is x= 17/6