Klein Bradley
12/05/2023 · Senior High School
1) \( \left(\frac{6}{5}\right)^{x}>\frac{5}{6} \)
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Tutor-Verified Answer
Step-by-step Solution
Сolve the equation \( \left(\frac{6}{5}\right)^{x}>\frac{5}{6} \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(\left(\frac{6}{5}\right)^{x}>\frac{5}{6}\)
- step1: Rewrite in exponential form:
\(\left(\frac{5}{6}\right)^{-x}>\frac{5}{6}\)
- step2: Compare the exponents:
\(-x<1\)
- step3: Change the signs:
\(x>-1\)
Решение уравнения \( \left(\frac{6}{5}\right)^{x}>\frac{5}{6} \) в реальной системе чисел для переменной \( x \) равно \( x>-1 \).
Quick Answer
\( x>-1 \)
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