Merschman12
contestada

Solve the exponential equation below. Express your answer exactly (i.e. do not round), usingthe common log. You must show your work to receive credit.
3^(2) + 5 = 29

Respuesta :

Step-by-step explanation:

[tex]3 {}^{2x} + 5 = 29[/tex]

[tex]3 {}^{2x} = 24[/tex]

[tex] log_3{3 {}^{2x} } = log_{3}(24) [/tex]

[tex]2x = log_{3}(24) [/tex]

[tex]x = \frac{1}{2} log_{3}(24) [/tex]

or

[tex]x = \frac{ log(24) }{2 log(3) } [/tex]

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