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

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

बेरीज

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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पाठ 7: Logarithms - Exercise 10.1

पाठ 7 Logarithms
Exercise 10.1 | Q 3.1

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

Express the following in the exponential form:

`"log"_25 sqrt(5) = (1)/(4)`

Find the value of: log ₁₀ 1000

Find the value of: log ₅ 3125

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 ^2a

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

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