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:
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 125 = 3

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

Find x in the following when: log ₄ 0.0625 = x

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

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

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