Find the Value Of: Log 1 2 16 - Mathematics

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

Sum

`"log_(1/2)16`

Let `"log_(1/2)16` = x

⇒ 16 = `(1/2)^x`
⇒ 2-^x = 2⁴
⇒ x = -4
∴ -x = 4.

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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 4.09

Express the following in the exponential form:
log₅ a = 3

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

Find x in the following when: log_x 125 = 3

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

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

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 ²ⁿ⁺¹

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

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^2x-3in term of a

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