If Log 10 M = N, Express the Following in Terms of M: 10 N -1

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

Sum

10^{n -1}
log ₁₀ m = n
⇒ m = 10 ⁿ
∴ 10 ^n-1
= 10 ⁿ . 10^-1
= `"m"/(10)`.

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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 6.1

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

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

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

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

Find the value of: log ₅ 125

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

If log ₁₀ m = n, express the following in terms of m: 10 ^-3n

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

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

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