Find the Value Of: Log 3 81

Find the value of: log ₃ 81

योग

log ₃ 81
Let log ₃81 = 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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अध्याय 10: Logarithms - Exercise 10.1

अध्याय 10 Logarithms
Exercise 10.1 | Q 4.02

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 243 = 5

Find the value of: log ₃ 81

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

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

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

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.

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