Express the Following in Terms of Log 2 and Log 3: Log 216

Express the following in terms of log 2 and log 3: log 216

योग

log 216
= log (2³ x 3³)
= log 2³ + log 3³
= 3 log 2 + 3 log 3.

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Expansion of Expressions with the Help of Laws of Logarithm

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अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 1.4

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

Prove that : If a log b + b log a - 1 = 0, then b^a. a^b = 10

If 2 log y - log x - 3 = 0, express x in terms of y.

Express the following in terms of log 2 and log 3: log 36

Express the following in terms of log 5 and/or log 2: log250

Write the logarithmic equation for:

V = `(1)/("D"l) sqrt("T"/(pi"r")`

If log x = p + q and log y = p - q, find the value of log `(10x)/y^2` in terms of p and q.

If log a = p and log b = q, express `"a"^3/"b"^2` in terms of p and q.

If log 27 = 1.431, find the value of the following: log 9

Find the value of:

`("log"sqrt(8))/(8)`