What is the answer to 4^{1-(5x)/2}=32 ?

The answer to 4^{1-(5x)/2}=32 is x=-3/5

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4^{1-(5x)/2}=32

4^{1 - \frac{5 x}{2}} = 32

x = - \frac{3}{5}

Decimal Notation

x = - 0.6

Solution steps

4^{1 - \frac{5 x}{2}} = 32

Apply exponent rules

2 (1 - \frac{5 x}{2}) = 5

Solve

2 (1 - \frac{5 x}{2}) = 5 : x = - \frac{3}{5}

x = - \frac{3}{5}

3^{2 x - 3} = 21

6^{9 x - 4} = 44

25 = 11 (1 + 0.14)^{x}

2 x e^{x} = 0

y, ln (2 x) + e^{y} = 1