Solve the equations and inequalities: frac{2^{x}}{3}leqfrac{5^{x}}{4}

Question
Logarithms
asked 2020-12-25
Solve the equations and inequalities: \(\frac{2^{x}}{3}\leq\frac{5^{x}}{4}\)

Answers (1)

2020-12-26
Take the logarithm of both sides of the inequality to remove the variable from the exponent. Inequality Form: \(x≥(ln(3)−ln(4))/(ln(2)−ln(5))\) Interval Notation: \([(ln(3)−ln(4))/(ln(2)−ln(5)), ∞ )\)
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