2-x-3-y-72-2-y-3-x-108-Please-am-not-getting-correct-answer-for-this-question-using-a-method-proposed-

Question Number 92196 by I want to learn more last updated on 05/May/20

2^{x} + 3^{y} = 72

2^{y} + 3^{x} = 108

Please am not getting correct answer for

this question using a method proposed .

Commented by john santu last updated on 05/May/20

aproximation

x = 4.1506283099

y = 3.6349521185

Commented by I want to learn more last updated on 05/May/20

Yes sir . but workings to get it .

Am using a method by sir jagol but

not giving correct answer

Commented by MJS last updated on 05/May/20

{there}^{'} s no possible path, you can only

approximate

2^{x} + 3^{y} = 72 \Rightarrow y = \frac{\ln (72 - 2^{x})}{\ln 3}

2^{y} + 3^{x} = 108 \Rightarrow y = \frac{\ln (108 - 3^{x})}{\ln 2}

72 - 2^{x} > 0 \land 108 - 3^{x} > 0 \Leftrightarrow x < \frac{\ln 108}{\ln 3} \approx 4.262

\frac{\ln (72 - 2^{x})}{\ln 3} = \frac{\ln (108 - 3^{x})}{\ln 2}

now use a calculator

Commented by MJS last updated on 05/May/20

\dots if the method you use gives a wrong result

the method is wrong

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