Express the Following in Logarithmic Form : 10-3 = 0.001 - Mathematics

Express the following in logarithmic form :
10^-3 = 0.001

Sum

10^-3 = 0.001
⇒ log₁₀0.001 = - 3 ....[ a^b = c ⇒ log_ac = b ]

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Interchanging Logarithmic and Exponential Forms

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Chapter 8: Logarithms - Exercise 8 (A) [Page 103]

Chapter 8 Logarithms
Exercise 8 (A) | Q 1.3 | Page 103

Express the following in logarithmic form : 5³ = 125

Express the following in logarithmic form : `(81)^(3/4) = 27`

Express the following in exponential form : log₈0.125 = -1

Find the logarithm of : 0.125 to the base 2

Find x, if : log₉243 = x

Evaluate : log₂ ( 1 ÷ 8 )

Evaluate : log₅ 1

Evaluate : log₁₆ 8

If log₂x = a and log₃ y = a, write 72^a in terms of x and y.

State true or false in the following:
If log ₂ 8 = 3, then log ₈ 2 = `(1)/(3)`