baileyf baileyf

23-07-2014
Mathematics

Answered

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

Verified Answer :

Anonymous Anonymous

06-08-2014

\(e^x=3.4\\\\lne^x=ln3.4\\\\x=ln3.4\\\\x\approx1.22\)

\(2^{x+6}=3\\\\log_22^{x+6}=log_23\\\\x+6=log_23\\\\x=log_23-6\\\\x\approx1.58-3\\\\x\approx-1.42\)

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