Math, asked by Vickypanjiyar, 1 year ago

The value of log 1/3 to the base 9 is!!​

Answers

Answered by gadakhsanket
8

Dear Student,

◆ Answer -

Log₉(1/3) = -1/2

● Explanation -

I'll answer ur question in stepwise manner -

Log₉(1/3) = log₁₀(1/3) / log₁₀(9) ...(logₓy = logₐy / logₐx)

Log₉(1/3) = -log₁₀(3) / log₁₀(3²) ...[logₓ(1/y) = -logₓy)]

Log₉(1/3) = -log₁₀(3) / 2log₁₀(3) ...(logₐyⁿ = nlogₐy)

Log₉(1/3) = -1/2

Thus value of log₉(1/3) is -1/2.

Hope that's useful. Thanks for asking...

Answered by ItzDarshana
7

Step-by-step explanation:

this is your Answer Mate

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