Express the Following in Terms of Log 5 And/Or Log 2: Log500 - Mathematics

Express the following in terms of log 5 and/or log 2: log500

योग

log500
= log (2² x 5³)
= log 2²+ log 5³
= 2 log 2 + 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 2.5

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 2.25

If log (a + b) = log a + log b, find a in terms of b.

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

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

Express the following as a single logarithm:

`(1)/(2)"log"25 - 2"log"3 + "log"36`

Simplify the following:

`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`

Simplify the following:

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

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

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`