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.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 2.5

If log₅ x = y, find 5^{2y+ 3} in terms of 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: log12⁸

Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`

If 2 log x + 1 = 40, find: log 5x

If 2 log y - log x - 3 = 0, express x in terms of y.

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

If log 27 = 1.431, find the value of the following: log300

If x² + y² = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)

Find the value of:

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