Find X, If : Logx 2 = -1 - Mathematics

Find x, if : log_x 2 = - 1.

Sum

Consider the equation
log_x 2 = - 1
⇒ x^-1 = 2

⇒ `1/x` = 2

⇒ x = `1/2`

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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 6.2 | Page 103

Express the following in logarithmic form:

5³ = 125

Express the following in exponential form :
log₁₀0.01 = - 2

Express the following in exponential form : log_aA = x

Express the following in exponential form : log₁₀1 = 0

Find the logarithm of : 0.001 to the base 10

Find the logarithm of : 0.125 to the base 2

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

Find x, if : log₄32 = x - 4

Evaluate : log₅ 125

If log_am = n, express a^{n - 1} in terms of a and m.