Express the Following in Terms of Log 5 And/Or Log 2: Log125

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

योग

log125
= log 5³
= 3 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 2.3

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

Prove that : (log a)² - (log b)² = log `(( a )/( b ))` . Log (ab)

If log (a + 1) = log (4a - 3) - log 3; find a.

Simplify : log (a)³÷ log a

Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.

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" root(3)(144)`

Express the following as a single logarithm:

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

Express the following as a single logarithm:

`3"log"(5)/(8) + 2"log"(8)/(15) - (1)/(2)"log"(25)/(81) + 3`

Simplify the following:

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