Express the Following in Terms of Log 5 And/Or Log 2: Log250

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

योग

log250
= log (5³ x 2)
= log 5³ + log2
= 3log 5 + log2.

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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 2.6

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

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

Express the following in terms of log 2 and log 3: log 144

Express the following in terms of log 2 and log 3: log 648

Express the following in terms of log 5 and/or log 2: log125

Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

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 x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.

If log 27 = 1.431, find the value of the following: log300