Express the Following in Exponential Form : Log101 = 0

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:

5³ = 125

Find the logarithm of : 100 to the base 10

Find the logarithm of : 0.1 to the base 10

Find the logarithm of : 0.001 to the base 10

Find x, if : log_x 2 = - 1.

Find x, if : log₅ (x - 7) = 1

Given log₂x = m. Express 2^{m - 3} in terms of x.

Solve for x:

log(x - 1) + log (x + 1) = log₂1

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

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