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

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:
log₃ 81 = 4

Find the value of: log ₅ 3125

Find the value of: log ₁₀ 0.0001

Find the value of: log ₃ 81

Find the value of: log ₅`(1)/(25)`

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

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
10^2x-3in term of a

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

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