Find the Value Of: Log 3 81

Find the value of: log ₃ 81

Sum

log ₃ 81
Let log ₃ 81 = x
⇒ 3^x = 81
⇒ 3^x = 3⁴
∴ x = 4.

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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 4.11

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

Find x in the following when: log _x 49 = 2

Find x in the following when: log_x 125 = 3

Find the value of: log ₁₀ 1000

Find the value of: `"log" _(1/5) 125` = x

Find the value of: log _aa³

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

If log ₁₀ m = n, express the following in terms of m: 10^{n -1}

If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.

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