Find X in the Following When: Log 4 0.0625 = X - Mathematics

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

योग

log ₄ 0.0625 = x
⇒ 0.0625 = 4^x
⇒ 4^x = 4^-2
∴ x = -2.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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अध्याय 10: Logarithms - Exercise 10.1

अध्याय 10 Logarithms
Exercise 10.1 | Q 3.1

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

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

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 0.0001

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

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

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

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