If Log 2 = 0.3010, Log 3 = 0.4771 and Log 5 = 0.6990, Find the Values Of: Log45

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45

Sum

log45
= log (3² x 5)
= log 3² + log 5
= 2 log 3 + log 5
= (2 x 0.4771) + 0.6990
= 1.6532.

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 19.2

If log 27 = 1.431, find the value of : log 9

If log 27 = 1.431, find the value of : log 300

If log₅ x = y, find 5^{2y+ 3} in terms of x.

Simplify : log (a)³÷ log a

Express the following in terms of log 5 and/or log 2: log80

Express the following in terms of log 5 and/or log 2: log125

Express the following in terms of log 5 and/or log 2: log160

Express the following as a single logarithm:
log 18 + log 25 - log 30

Simplify the following:

`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`

If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.