Express the Following in Exponential Form : Logaa = X - Mathematics

Express the following in exponential form : log_aA = x

Sum

log_aA = x
⇒ a^x= A .....[ 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 2.3 | Page 103

Express the following in logarithmic form:

5³ = 125

Express the following in logarithmic form:

`3^-2 = 1/9`

Find the logarithm of : 0.001 to the base 10

State, true or false : If log₁₀ x = a, then 10^x = a.

Find x, if : log₇ (2x² - 1) = 2

Evaluate : log₁₀0.01

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

Given log₅y = n. Express 5^{3n + 2} in terms of y.

Solve for x:

log(x - 1) + log (x + 1) = log₂1

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