Find the Value Of: Log a A3 - Mathematics

Find the value of: log _aa³

योग

log _aa³
Let log _aa³ = x
⇒ a^x = a³
∴ 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 4.14

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

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

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

Find x in the following when: log ₇ x = 3

Find the value of: log ₈ 2

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}

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

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