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myrzilka [38]
3 years ago
9

Solve 5^(3x+5)=1/25^(1-5x)

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer:

x = 1

Step-by-step explanation:

{5}^{(3x + 5)}  =  \frac{1}{25 ^{(1 - 5x)} }  \\  \\  {5}^{(3x + 5)}  =  \frac{1}{( {5}^{2})  ^{(1 - 5x)} }  \\   \\ {5}^{(3x + 5)}  =  \frac{1}{{5}  ^{2(1 - 5x)} } \\   \\ {5}^{(3x + 5)}  = {5}^{ - 2(1 - 5x)}  \\  \\ 3x + 5 =  - 2(1 - 5x) \\  \\ 3x + 5 =  - 2 + 10x \\  \\ 5 + 2 = 10x - 3x \\ 7 = 7x \\  \\ x =  \frac{7}{7}  \\  \\  \huge \red { \boxed{x = 1}}

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3 years ago
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