Express the Following in Terms of Log 5 And/Or Log 2: Log20 - Mathematics

Express the following in terms of log 5 and/or log 2: log20

Sum

log20
= log (2² x 5)
= log 2² + log 5
= 2 log 2 + log 5.

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 2.1

If log (a + b) = log a + log b, find a in terms of b.

Prove that : If a log b + b log a - 1 = 0, then b^a. a^b = 10

Express the following in terms of log 2 and log 3: log 216

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

Express the following in terms of log 2 and log 3: `"log" root(3)(144)`

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Express the following as a single logarithm:

`(1)/(2)"log"25 - 2"log"3 + "log"36`

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 x² + y² = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)