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:
log₂ 128 = 7

Express the following in the exponential form:
log₁₀ 0.001 = -3

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

Express the following in the exponential form:

`"log"_25 sqrt(5) = (1)/(4)`

Find x in the following when: log _x 243 = 5

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

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

Find the value of: log ₃ 81

If log ₁₀ m = n, express the following in terms of m: 10^{n -1}

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