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

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

Sum

10^{2a -3}
log ₁₀ x = a
⇒ x = 10 ^a
∴ 10^{2a -3}
= 10^2a . 10^-3
= (10 ^a)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 5.4

Express the following in the exponential form:
log₁₀ 0.001 = -3

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

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

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

Find the value of: log ₃ 81

If log ₁₀ x = a, express the following in terms of x: 10 ^{a + 3}

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

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

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 ₁₀ 100 = 2, then 10² = 100