What is the answer to 262144^{4x+6}=4096^{-x-15} ?

The answer to 262144^{4x+6}=4096^{-x-15} is x=-24/7

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262144^{4x+6}=4096^{-x-15}

26214 4^{4 x + 6} = 409 6^{- x - 15}

x = - \frac{24}{7}

Decimal

x = - 3.42857 \dots

Solution steps

26214 4^{4 x + 6} = 409 6^{- x - 15}

Apply exponent rules

3 (4 x + 6) = 2 (- x - 15)

Solve

3 (4 x + 6) = 2 (- x - 15) : x = - \frac{24}{7}

x = - \frac{24}{7}

16 = 1 0^{2 + 3 x}

7^{2 + x} = 1.4 \cdot 5^{2 + x}

9 \times 8 1^{1 - 2 x} = 2 7^{2 - x}

1 0^{x} = 121

x^{2} e^{x} + 2 x e^{x} = 0

What is the answer to 262144^{4x+6}=4096^{-x-15} ?
The answer to 262144^{4x+6}=4096^{-x-15} is x=-24/7
Solve for x: 262144^{4x+6}=4096^{-x-15}
The solution is x=-24/7