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

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

Sum

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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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 3.08

Express the following in the exponential form:

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

Express the following in the exponential form:
q = log_a p

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

Express the following in the exponential form:
-2 = log₂ 0.25

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

Find the value of: log ₁₀ 1000

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

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

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