If Log 10 X = P, Express the Following in Terms of X: 102p-3

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

Sum

10^2p-3
log ₁₀ x = p
⇒ x = 10^p
∴ 10^2p-3
= 10^2p . 10^-3
= (10^p)² . 10^-3
= `x^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 7.3

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

Find x in the following when: log _x 49 = 2

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

Find x in the following when: log ₃ 243 = x

Find the value of: log ₁₀ 1000

Find the value of: log ₃ 81

Find the value of: log _aa³

If log ₁₀x = p, express the following in terms of x: 10^p+1

If log ₁₀ a = x, and log ₁₀ c = z, find
`10^(x-y+z)` in terms of a, b and c

State true or false in the following:
If log ₁₀ p = q, then 10^p = q