Exponential and Logarithmic Functions - Solving Exponential and Power Equations Using Logarithms

Exponential and Logarithmic Functions - Solving Exponential and Power Equations Using Logarithms

IP 3

Solve the equation \({{16}^{\frac{x-1}{x}}}\times {{5}^{x}}=100\).

Solution:

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Answer:\(x=2\) or \(x=-\dfrac{\ln4}{\ln5}\)

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