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

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

Sum

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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Chapter 10: Logarithms - Exercise 10.1

Chapter 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"_25 sqrt(5) = (1)/(4)`

Find x in the following when: log _x 49 = 2

Find x in the following when: log_x 125 = 3

Find the value of: log ₁₀ 1000

Find the value of: log ₁₀ 0.0001

Find the value of `log_(1/2)16`.

Find the value of: log ₅`(1)/(25)`

If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^{3y -1} in terms of b