Advertisements
Advertisements
Question
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y: log103
Advertisements
Solution
log1027 = y
⇒ log1033 = y
⇒ 3log103 = y
⇒ log103 = `y/(3)`.
APPEARS IN
RELATED QUESTIONS
If log10 8 = 0.90; find the value of : log√32
Prove that : If a log b + b log a - 1 = 0, then ba. ab = 10
Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.
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 5 and/or log 2: log125
Write the logarithmic equation for:
E = `(1)/(2)"m v"^2`
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18
If 2 log y - log x - 3 = 0, express x in terms of y.
If log 4 = 0.6020, find the value of each of the following: log2.5
Simplify: log a2 + log a-1
