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

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

If log 27 = 1.431, find the value of : log 300

Simplify : log (a)³÷ log a

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Express the following as a single logarithm:

`2 + 1/2 "log" 9 - 2 "log" 5`

If 2 log x + 1 = 40, find: x

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

If x² + y² = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)

Simplify: log b ÷ log b²

Find the value of:

`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`