Express the Following in Terms of Log 2 and Log 3: Log128 - Mathematics

Express the following in terms of log 2 and log 3: log12⁸

योग

log12⁸
=log (3 x 2²)⁸
= 8log (3 x 2²)
= 8[log 3 + log2²]
= 8[log 3 + 2log 2].

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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 1.6

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

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

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Express the following in terms of log 2 and log 3: log 54

Simplify the following:

`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`

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If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`