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

Behnam Shomali asked Aug 22, 2023

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39 votes

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

Behnam Shomali asked Aug 22, 2023

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8 votes

Answer:

x=10

Explanation:

Start with

$\log _3\left(2x-11\right)=2\\$

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

3^2=2x-11

Solve for x:

$3^2=2x-11\\9=2x-11\\20=2x\\10=x$

Spot answered Aug 27, 2023

by Spot

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