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:
log₅ a = 3

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

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

Find the value of: log ₁₀ 1000

Find the value of: `"log_(1/2)16`

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 ^-a

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

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

State true or false in the following:
If log ₁₀ 100 = 2, then 10² = 100