Express the Following in Exponential Form : Log101 = 0 - Mathematics

Express the following in exponential form : log₁₀1 = 0

Sum

log₁₀1 = 0
⇒ 10⁰ = 1 .....[ log_ac = b ⇒ a^b = c ]

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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 2.4 | Page 103

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

Express the following in logarithmic form:

`3^-2 = 1/9`

Find the logarithm of : 0.001 to the base 10

Find the logarithm of : `1/16` to the base 4

Find the logarithm of : `1/81` to the base 27

State, true or false : If x^y = z, then y = log_zx .

State, true or false : log₂ 8 = 3 and log₈ = 2 = `1/3`

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

Solve for x:

log(x - 1) + log (x + 1) = log₂1

If log (x² - 21) = 2, show that x = ± 11.