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

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

Simplify : log (a)³÷ log a

Express the following in terms of log 5 and/or log 2: log250

Express the following as a single logarithm:
log 18 + log 25 - log 30

Express the following as a single logarithm:

`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 720

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

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

If log 4 = 0.6020, find the value of each of the following: log2.5

Find the value of:

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