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

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

Express the following in the exponential form:
log₂ 128 = 7

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Express the following in the exponential form:
-2 = log₂ 0.25

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

Find x in the following when: log ₃ 243 = x

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

Find the value of: log ₁₀ 1000

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

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

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