Advertisements
Advertisements
Question
Express the following as a single logarithm:
log 18 + log 25 - log 30
Advertisements
Solution
log 18 + log 25 - log 30
= log (2 x 32) + log 52 - log (2 x 3 x 5)
= log 2 + log 32 + 2 log 5 - {log 2 + log 3 + log 5}
= log 2 + 2 log 3 + 2 log 5 - log 2 - log 3 - log 5
= log 3 + log 5
= log (3 x 5)
= log 15.
APPEARS IN
RELATED QUESTIONS
Given log x = 2m - n , log y = n - 2m and log z = 3m - 2n , find in terms of m and n, the value of log `(x^2y^3 ) /(z^4) `.
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"(26)/(51) - "log"(91)/(119)`
Express the following as a single logarithm:
`3"log"(5)/(8) + 2"log"(8)/(15) - (1)/(2)"log"(25)/(81) + 3`
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y: log103
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18
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 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2
If log 4 = 0.6020, find the value of each of the following: log8
If log 4 = 0.6020, find the value of each of the following: log2.5
