Solve for X : Log10 X = -2. - Mathematics

Solve for x : log₁₀ x = -2.

Sum

log₁₀ x = -2
⇒ 10^-2 = x ....[ log_ac = b ⇒ a^b = c ]
⇒ x = 10^-2

⇒ x = `1/10^2`

⇒ x = `1/100`

⇒ x = 0.01

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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 3 | Page 103

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

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 : 0.1 to the base 10

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

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

Find x, if : log₃ x = 0

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

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