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

बेरीज

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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पाठ 10: Logarithms - Exercise 10.1

पाठ 10 Logarithms
Exercise 10.1 | Q 5.3

Express the following in the exponential form:

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

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

Express the following in the exponential form:

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

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

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

Find x in the following when: log ₁₀ 0.0001 = x

Find the value of: log ₂128

Find the value of: log ₅ 125

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^2x-3in term of a

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^{3y -1} in terms of b