Solve the logarithmic equation $\log _{3}(81)=x$
$x=7$
$x=4$
$x=27$
$x=3$

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Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To solve the logarithmic equation $ \log_{3}(81) = x $, we need to express 81 as a power of 3. ‖ ‖ step 2 ⋮ We know that $ 81 = 3^4 $. ‖ ‖ step 3 ⋮ Therefore, $ \log_{3}(81) = \log_{3}(3^4) $. ‖ ‖ step 4 ⋮ Using the property of logarithms, $ \log_{b}(b^k) = k $, we get $ \log_{3}(3^4) = 4 $. ‖ ‖ step 5 ⋮ Hence, $ x = 4 $. ‖ ∻Answer∻ ⚹ $ x = 4 $ ⚹ ∻Key Concept∻ ⚹Logarithmic properties⚹ ∻Explanation∻ ⚹The logarithmic property $ \log_{b}(b^k) = k $ allows us to simplify the expression $ \log_{3}(81) $ by expressing 81 as $ 3^4 $, leading to the solution $ x = 4 $.⚹◊What is the correct solution to the logarithmic equation $ \log_{3}(81)=x $?⍭ Generate me a similar question◊

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