Find the Value Of: Log 1 5 125 = X - Mathematics

Find the value of: `"log" _(1/5) 125` = x

Sum

`"log" _(1/5) 125`

Let `"log"_(1/5) 125` = x

⇒ `(1/5)^x` = 125
⇒ 5^-x= 5³
∴ - x = 3
⇒ x = -3.

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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 4.05

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

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

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

Find the value of: log ₁₀ 0.0001

Find the value of: log _0.0110

Find the value of: log ₅`(1)/(25)`

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

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 ^-3n

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