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

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:
log_b a = c

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Find x in the following when: log ₈ x = `(2)/(3)`

Find x in the following when: log ₄ x = -4

Find the value of: `"log" _(1/5) 125` = x

Find the value of: log ₁₀ 0.0001

Find the value of: log ₅ 125

Find the value of: log _0.0110

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

If log ₁₀x = p, express the following in terms of x: 10^p+1