Express the Following in Terms of Log 5 And/Or Log 2: Log160 - Mathematics

Express the following in terms of log 5 and/or log 2: log160

योग

log160
= log (2⁵ x 5)
= log 2⁵ + log 5
= 5 log 2 + log 5.

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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 2.4

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

Express the following in terms of log 2 and log 3: `"log" root(3)(144)`

Express the following as a single logarithm:

`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

Express the following as a single logarithm:

`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`

Simplify the following:

`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75

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

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60

Simplify: log b ÷ log b²

Find the value of:

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