What is the answer to (625)^{x-1}=(0.008)^{3-x} ?

The answer to (625)^{x-1}=(0.008)^{3-x} is x=-5

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(625)^{x-1}=(0.008)^{3-x}

(625)^{x - 1} = (0.008)^{3 - x}

x = - 5

Solution steps

(625)^{x - 1} = (0.008)^{3 - x}

Apply exponent rules

4 (x - 1) = - 3 (3 - x)

Solve

4 (x - 1) = - 3 (3 - x) : x = - 5

x = - 5

8 = 2^{b}

2^{x + 3} \cdot 3^{x + 4} = 18

(\frac{1}{2})^{x} = 64

x, 2^{m} - 2^{x} = 2^{4} \cdot 7

5^{x} - 4 = 5^{10}

What is the answer to (625)^{x-1}=(0.008)^{3-x} ?
The answer to (625)^{x-1}=(0.008)^{3-x} is x=-5
Solve for x: (625)^{x-1}=(0.008)^{3-x}
The solution is x=-5