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22-08-2022
Mathematics

contestada

Solve for x.
log3(2x-11)=2

Respuesta :

22-08-2022

Answer:

x=10

Step-by-step explanation:

Start with

[tex]\log _3\left(2x-11\right)=2\\[/tex]

Convert log to exponential form, log base to the power of log exponent equals log argument:

[tex]3^2=2x-11[/tex]

Solve for x:

[tex]3^2=2x-11\\9=2x-11\\20=2x\\10=x[/tex]

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