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

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)/(32)` = -5

Express the following in the exponential form:
log_b a = c

Find x in the following when: log ₈ x = `(2)/(3)`

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

Find the value of: log _0.0110

Find the value of: log ₃ 81

If log ₁₀x = p, express the following in terms of x: 10^p+1

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

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

State true or false in the following:
If log ₁₀ p = q, then 10^p = q