Advertisements
Advertisements
Question
Express the following in terms of log 2 and log 3: log 648
Sum
Advertisements
Solution
log 648
= log (23 x 34)
= log 23 + 34
= 3 log 2 + 4 log 3.
shaalaa.com
Expansion of Expressions with the Help of Laws of Logarithm
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Given 3log x + `1/2`log y = 2, express y in term of x.
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15
If log10 8 = 0.90; find the value of : log 0.125
Prove that : (log a)2 - (log b)2 = log `(( a )/( b ))` . Log (ab)
If log10 a = b, find 103b - 2 in terms of a.
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Express the following as a single logarithm:
`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`
If 2 log x + 1 = 40, find: log 5x
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: log 9
