Find X in the Following When: Log 10 0.0001 = X

Find x in the following when: log ₁₀ 0.0001 = x

बेरीज

log ₁₀ 0.0001 = x
⇒ 0.0001 = 10^x
⇒ 10^x = 10^-4
∴ x = -4.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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पाठ 10: Logarithms - Exercise 10.1

पाठ 10 Logarithms
Exercise 10.1 | Q 3.09

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Express the following in the exponential form:
`"log"_sqrt(6) (6sqrt(6))` = 3

Find x in the following when: log_x 125 = 3

Find x in the following when: log ₂ 0.5 = x

Find the value of: log _0.0110

Find the value of: log ₂ 8

If log ₁₀ x = a, express the following in terms of x : 10 ^2a

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^2x-3in term of a

If log ₁₀ a = x, and log ₁₀ c = z, find
`10^(x-y+z)` in terms of a, b and c

State true or false in the following:
If log ₁₀ 100 = 2, then 10² = 100