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If Log X = a + B and Log Y = A-b, Express the Value of Log X 2 10 Y in Terms of a and B. - Mathematics

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प्रश्न

If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.

योग

उत्तर

`"log" x^2/(10y)`
= logx2 - log10y
= 2logx - (log10 + logy)
= 2logx - logy - 1
= 2(A + B) - (A - B) -1
= A + 3B - 1.

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Expansion of Expressions with the Help of Laws of Logarithm
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Logarithms - Exercise 10.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 10 Logarithms
Exercise 10.2 | Q 14
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