If Log 2 = 0.3010, Log 3 = 0.4771 and Log 5 = 0.6990, Find the Values Of: Log18 - Mathematics

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18

Sum

log18
= log (2 x 3²)
= log 2 + log 3²
= log 2 + 2 log 3
= 0.3010 + (2 x 0.4771)
= 1.2552.

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 19.1

If x = (100)^a , y = (10000)^b and z = (10)^c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.

Prove that : (log a)² - (log b)² = log `(( a )/( b ))` . Log (ab)

Given: log₃ m = x and log₃ n = y.
Express 3^{2x - 3} in terms of m.

Given: log₃ m = x and log₃n = y.

Write down `3^(1 - 2y + 3x)` in terms of m and n.

Express the following in terms of log 2 and log 3: log 36

Express the following in terms of log 5 and/or log 2: log500

Write the logarithmic equation for:

F = `"G"("m"_1"m"_2)/"d"^2`

Write the logarithmic equation for:

n = `sqrt(("M"."g")/("m".l)`

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

If 2 log y - log x - 3 = 0, express x in terms of y.