Question

Решите уравнение (1/5)^x-3=125

Answer 1

(1/5)^x-3=125
(1/x)^x-3 = (1/5)^-3
x-3=-3
x=0

Answer 2

I can help you solve the equation $(1/5)^{x-3}=125$ in Russian. Here are the steps:

1. Take the logarithm of both sides with base $5$. This gives us $x-3=\log_5{125}$. 2. Use the property of logarithms that $\log_b{b^a}=a$. This simplifies the right-hand side to $x-3=3$. 3. Add $3$ to both sides. This gives us the final answer: $x=6$.

You can check your answer by plugging it back into the original equation and verifying that both sides are equal.

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