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

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

Sum

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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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 3.1

Express the following in the exponential form:

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

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

Express the following in the exponential form:

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

Find x in the following when: log ₇ x = 3

Find the value of: log ₁₀ 0.0001

Find the value of: log ₃ 81

Find the value of: log ₅`(1)/(25)`

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

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

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