Asymptotic Approximations - 2.2 Transcendental Equations

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2.2.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t^{2}-\ln@@{t} = y}
t^{2}-\ln@@{t} = y
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(t)^(2)- ln(t) = y
(t)^(2)- Log[t] == y
Failure Failure
Failed [36 / 36]
Result: 3.344534892-3.141592654*I
Test Values: {t = -1.5, y = -1.5}

Result: .344534892-3.141592654*I
Test Values: {t = -1.5, y = 1.5}

Result: 2.344534892-3.141592654*I
Test Values: {t = -1.5, y = -.5}

Result: 1.344534892-3.141592654*I
Test Values: {t = -1.5, y = .5}

... skip entries to safe data
Failed [36 / 36]
Result: Complex[3.3445348918918354, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, -1.5]}

Result: Complex[0.3445348918918356, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, 1.5]}

... skip entries to safe data
2.2.E5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t^{2} = y+\ln@@{t}}
t^{2} = y+\ln@@{t}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(t)^(2) = y + ln(t)
(t)^(2) == y + Log[t]
Failure Failure
Failed [36 / 36]
Result: 3.344534892-3.141592654*I
Test Values: {t = -1.5, y = -1.5}

Result: .344534892-3.141592654*I
Test Values: {t = -1.5, y = 1.5}

Result: 2.344534892-3.141592654*I
Test Values: {t = -1.5, y = -.5}

Result: 1.344534892-3.141592654*I
Test Values: {t = -1.5, y = .5}

... skip entries to safe data
Failed [36 / 36]
Result: Complex[3.3445348918918354, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, -1.5]}

Result: Complex[0.3445348918918356, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, 1.5]}

... skip entries to safe data