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Find the Logarithm of : 32 to the Base 4 - Mathematics

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प्रश्न

Find the logarithm of : 32 to the base 4

बेरीज

उत्तर

Let log432 = x
∴ 4x = 32
⇒ (22)x = 2 x 2 x 2 x 2 x 2
⇒ 22x = 25
⇒ 2x = 5                  .....[ If am = an ; then m = n ]
⇒ x = `5/2`
∴ log432 = `5/2`

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Interchanging Logarithmic and Exponential Forms
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Logarithms - Exercise 8 (A) [पृष्ठ १०३]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 8 Logarithms
Exercise 8 (A) | Q 4.4 | पृष्ठ १०३
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