brandonrolain6398 brandonrolain6398

26-04-2022
Mathematics

contestada

Solve the equation. Write the answer in terms of the natural logarithm.
e^(8x+9)=14

The Solution set is { }.
Type exact answer in simplified form.

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brightediomo1 brightediomo1

26-04-2022

Step-by-step explanation:

Take the natural logarithm of both sides;

8x+9 = ln (14)

Transposition;

8x= ln(14)-ln(e⁹)

[tex]x = \frac{ ln(14) - ln( {e}^{9} ) }{8} [/tex]

[tex]x = \frac{1}{8} ( ln(14) - 9)[/tex]

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