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

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 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 3.1

Express the following in the exponential form:
log₃ 81 = 4

Find x in the following when: log_x 125 = 3

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

Find the value of: log ₁₀ 1000

Find the value of: log _0.1 10

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

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If log ₁₀ a = x, and log ₁₀ c = z, find
`10^(x-y+z)` in terms of a, b and c