If Log 10 X = A, Express the Following in Terms of X : 10 2a

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

Sum

10 ^2a
log ₁₀x = a
⇒ x = 10 ^a
∴ 10 ^2a = (10^a)²
= x².

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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 5.1

Express the following in the exponential form:
log₃ 81 = 4

Express the following in the exponential form:
log₅ a = 3

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

Find x in the following when: log_x 125 = 3

Find the value of: log ₁₀ 0.0001

Find the value of: log ₅`(1)/(25)`

Find the value of: `"log_sqrt(3) (3sqrt(3))`

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

If log ₁₀ m = n, express the following in terms of m: 10 ^-3n

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