If Iog 10 a = X, Log 10 B = Y and Log 10 C = Z, Find 102x-3 in Term of a - Mathematics

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

Sum

10^2x-3in term of a
Iog ₁₀a = x
⇒ a = 10^x
10^2x-3
= (10 ^x)² . 10^-3
= `"a"^2/(1000)`.

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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 9.1

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

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

Express the following in the exponential form:
-2 = log₂ 0.25

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

Find the value of: log ₁₀ 1000

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

Find the value of: log ₁₀ 0.0001

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

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