Find X in the Following When: Log 4 X = -4

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

Sum

log ₄ x = -4
⇒ x = 4^-4
⇒ x = `(1)/(256)`.

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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 3.06

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

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

Find x in the following when: log ₁₀ 0.0001 = x

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

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

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

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

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