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

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

Sum

10^{2a -3}
log ₁₀ x = a
⇒ x = 10 ^a
∴ 10^{2a -3}
= 10^2a . 10^-3
= (10 ^a)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 5.4

Express the following in the exponential form:
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If log ₁₀ x = a, express the following in terms of x : 10 ^2a

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

State true or false in the following:
If log ₁₀ p = q, then 10^p = q