What is the answer to (0.5)^{-256^{4^x}}=4 ?

The answer to (0.5)^{-256^{4^x}}=4 is x=-3/2

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(0.5)^{-256^{4^x}}=4

(0.5)^{- 25 6^{4^{x}}} = 4

x = - \frac{3}{2}

Solution steps

(0.5)^{- 25 6^{4^{x}}} = 4

(\frac{1}{2})^{- 25 6^{4^{x}}} = 4

Apply exponent rules

(3 + 2 x) ln (2) = ln (1)

Solve

(3 + 2 x) ln (2) = ln (1) : x = - \frac{3}{2}

x = - \frac{3}{2}

5^{3 x + 2} = 1 1^{7 x - 2}

\frac{4 ^{x - 1}}{2 ^{x + 2}} = 256

2 7^{- x - 1} = 81

e^{- \frac{1}{2} x^{2}} = 0

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

What is the answer to (0.5)^{-256^{4^x}}=4 ?
The answer to (0.5)^{-256^{4^x}}=4 is x=-3/2
Solve for x: (0.5)^{-256^{4^x}}=4
The solution is x=-3/2