If Log 10 M = N, Express the Following in Terms of M: 10 2n+1 - Mathematics

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

Sum

10 ²ⁿ⁺¹
log ₁₀ m = n
⇒ m = 10 ⁿ
∴ 10 ²ⁿ⁺¹
= 10 ²ⁿ . 10¹
= (10ⁿ)² . 10
= 10 m².

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 6.2

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