Express the Following in Terms of Log 2 and Log 3: Log 144

Express the following in terms of log 2 and log 3: log 144

Sum

log 144
= log (2⁴ x 3²)
= log 2⁴ + log3²
= 4 log 2 + 2 log 3.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 1.3

If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.

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

Express the following in terms of log 2 and log 3: log12⁸

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

Simplify the following:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: `"log"2(1)/(4)`

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: `"log" sqrt(72)`

If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`