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

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

Sum

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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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 3.03

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

Express the following in the exponential form:
log₁₀ 0.001 = -3

Express the following in the exponential form:

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

Find x in the following when: log_x 125 = 3

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

Find the value of: log ₃ 81

Find the value of: log ₂ 8

Find the value of: log _0.1 10

If log ₁₀ x = a, express the following in terms of x: 10 ^{a + 3}

If log ₁₀ x = a, express the following in terms of x: 10^{2a -3}