Final Answer
$y=\frac{1}{\frac{1}{2}\ln\left(\arctan\left(x\right)\right)}$
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Step-by-step Solution
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1
Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
$y=\left(\frac{1}{2}\ln\left(\arctan\left(x\right)\right)\right)^{-1}$
Learn how to solve logarithmic equations problems step by step online.
$y=\left(\frac{1}{2}\ln\left(\arctan\left(x\right)\right)\right)^{-1}$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation y=ln(arctan(x)^1/2)^(-1). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression.
Final Answer
$y=\frac{1}{\frac{1}{2}\ln\left(\arctan\left(x\right)\right)}$