AdamarisT234786 AdamarisT234786
  • 29-10-2022
  • Mathematics
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Solve log 6 x = 2 1) 362) 123) 64) 64

Solve log 6 x 2 1 362 123 64 64 class=

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AroraR405712 AroraR405712
  • 29-10-2022

Logarithmic Equations

Some equations require the application of the properties of logarithms to solve.

We need to recall the following basic property:

[tex]\begin{gathered} Given\colon \\ \log _ba=p \\ \text{Then:} \\ b^p=a \end{gathered}[/tex]

We are given the equation:

[tex]\log _6x=2[/tex]

Applying the property written above:

[tex]6^2=x[/tex]

Or, equivalently:

x = 36

Answer: 1) 36

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