Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer.

e^x=3.4

2^x+6=3

Question

23-07-2014
Mathematics

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Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer.

e^x=3.4

2^x+6=3

Sagot :

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Анонимidn Анонимidn · Answer 1 · 2014-08-06T04:20:34-04:00

Анонимidn Анонимidn

06-08-2014

[tex]e^x=3.4\\\\lne^x=ln3.4\\\\x=ln3.4\\\\x\approx1.22[/tex]

[tex]2^{x+6}=3\\\\log_22^{x+6}=log_23\\\\x+6=log_23\\\\x=log_23-6\\\\x\approx1.58-3\\\\x\approx-1.42[/tex]

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