Find X in the Following When: Log 3 243 = X - Mathematics

Find x in the following when: log ₃ 243 = x

योग

log ₃ 243 = x
⇒ 243 = 3^x
⇒ 3⁵ = 3^x
∴ x = 5.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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अध्याय 10: Logarithms - Exercise 10.1

अध्याय 10 Logarithms
Exercise 10.1 | Q 3.08

Express the following in the exponential form:

`"log"_2 (1)/(32)` = -5

Express the following in the exponential form:
log₅ a = 3

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

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

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

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

Find the value of: log ₁₀ 1000

Find the value of: log _aa³

If log ₁₀ m = n, express the following in terms of m: 10 ^-3n

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