Find X in the Following When: Log X 125 = 3

Find x in the following when: log_x 125 = 3

Sum

log_x 125 = 3
⇒ x³ = 125
⇒ x³ = 5³
∴ x = 5.

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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 3.02

Express the following in the exponential form:
log₃ 81 = 4

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

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 243 = 5

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

Find x in the following when: log ₇ x = 3

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

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

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