If Log 10 X = P, Express the Following in Terms of X: 102p-3 - Mathematics

If log ₁₀ x = p, express the following in terms of x: 10^2p-3

Sum

10^2p-3
log ₁₀ x = p
⇒ x = 10^p
∴ 10^2p-3
= 10^2p . 10^-3
= (10^p)² . 10^-3
= `x^2/(1000)`.

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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 7.3

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