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If log_10 x = a, log_10 y = b, express 10^(a – 1) in terms of x. - Mathematics

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Question

If log10 x = a, log10 y = b, express `10^(a - 1)` in terms of x.

Sum
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Solution

Given: log10 x = a, log10 y = b

Step-wise calculation:

log10 x = a

⇒ 10a = x

`10^(a - 1) = 10^a/10`

`10^(a - 1) = x/10`

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Chapter 7: Logarithms - Exercise 7A [Page 140]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 7A | Q 8. (i) | Page 140
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