Advertisements
Advertisements
Question
Express the following in terms of log 2 and log 3: log 144
Sum
Advertisements
Solution
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?
APPEARS IN
RELATED QUESTIONS
Given 2 log10 x + 1 = log10 250, find :
(i) x
(ii) log10 2x
Express the following in terms of log 2 and log 3: log128
Express the following in terms of log 5 and/or log 2: log20
Express the following in terms of log 5 and/or log 2: log160
Express the following in terms of log 5 and/or log 2: log500
Write the logarithmic equation for:
n = `sqrt(("M"."g")/("m".l)`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 720
If 2 log y - log x - 3 = 0, express x in terms of y.
If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`
Find the value of:
`("log"sqrt(8))/(8)`
