If Log 2 = 0.3010, Log 3 = 0.4771 and Log 5 = 0.6990, Find the Values Of: Log540

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540

Sum

log540
= log (2² x 3³ x 5)
= log 2² + log 3³+ log 5
= 2 log 2 + 3 log 3 + log 5
= (2 x 0.3010) + (3 x 0.4771) + 0.6990
= 2.7323.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

Is there an error in this question or solution?

Chapter 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 19.3

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

If log₁₀ 8 = 0.90; find the value of : log 0.125

Simplify : log (a)³ - log a

Express the following in terms of log 2 and log 3: log 216

Express the following in terms of log 5 and/or log 2: log80

Express the following as a single logarithm:

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

Simplify the following:

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

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀3

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