Find the Value Of: Log 5 1 25

Find the value of: log ₅`(1)/(25)`

Sum

log ₅`(1)/(25)`

Let log ₅`(1)/(25)` = x

⇒ 5^x = `(1)/(25)`
⇒ 5^x = 5^-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 4.12

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

Express the following in the exponential form:
log_b a = c

Find x in the following when: log ₈ x = `(2)/(3)`

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

Find the value of: log ₂128

Find the value of: log ₁₀ 0.0001

Find the value of: log ₂ 8

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