Find X in the Following When: Log X 243 = 5 - Mathematics

Find x in the following when: log _x 243 = 5

योग

log _x 243 = 5
⇒ x⁵ = 243
⇒ x⁵ = 3⁵
∴ x = 3.

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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 3.03

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_x 125 = 3

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

Find the value of: log _0.0110

Find the value of: log ₅`(1)/(25)`

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

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

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