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Express the following in logarithmic form, 81,=,3^{4}

Question

Express the following in logarithmic form $:$
$81 = 3^{4}$

lo g_{3} 81 = 4

lo g_{9} 81 = 2

2 lo g_{3} 9 = 4

4 lo g_{9} 3 = 2

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Jack Discussed

Express the following in logarithmic form

:

81 = 3^{4}

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Text solutionVerified

y = a^{x} \Rightarrow lo g_{a} y = x ∴ 81 = 3^{4} \Rightarrow lo g_{3} 81 = 4

A is true.

81 = 3^{4} = 9^{2}

\Rightarrow lo g_{9} 81 = lo g_{9} 9^{2} = 2 lo g_{9} 9 = 2

B is true.

81 = 3^{4} = 9^{2}

\Rightarrow lo g_{3} 3^{4} = lo g_{3} 9^{2} = 2 lo g_{3} 9

C is true.

81 = 3^{4} = 9^{2}

\Rightarrow lo g_{9} 3^{4} = lo g_{9} 9^{2} = 2 lo g_{9} 9 = 2

\Rightarrow 4 lo g_{9} 3 = 2

D is true.

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Question Text	Express the following in logarithmic form $:$ $81 = 3^{4}$
Answer Type	Text solution:1
Upvotes	150