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

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 10: Logarithms - Exercise 10.1

पाठ 10 Logarithms
Exercise 10.1 | Q 3.1

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

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -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 x in the following when: log _x 49 = 2

Find x in the following when: log ₂ 0.5 = x

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

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

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

State true or false in the following:
If log ₁₀ 100 = 2, then 10² = 100