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

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

Sum

10 ^-a
log ₁₀ x = a
⇒ x = 10 ^a
∴ 10 ^-a
= x^-1
= `(1)/x`.

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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 5.3

Express the following in the exponential form:
log₂ 128 = 7

Express the following in the exponential form:

`"log"_2 (1)/(32)` = -5

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Find x in the following when: log ₇ x = 3

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If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.