Find the Value Of: Log 3 81

Find the value of: log ₃ 81

Sum

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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Chapter 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 4.02

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

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

Express the following in the exponential form:
-2 = log₂ 0.25

Find the value of: log ₅ 3125

Find the value of: log _0.1 10

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 ^-3n

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

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

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