Question

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

Answer 1

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`