Express the Following in Terms of Log 2 and Log 3: Log128 - Mathematics

Express the following in terms of log 2 and log 3: log12⁸

बेरीज

log12⁸
=log (3 x 2²)⁸
= 8log (3 x 2²)
= 8[log 3 + log2²]
= 8[log 3 + 2log 2].

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 1.6

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

Express the following in terms of log 2 and log 3: log 648

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

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Write the logarithmic equation for:

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

Write the logarithmic equation for:

V = `(4)/(3)pi"r"^3`

Simplify the following:

`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`

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

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

If log 27 = 1.431, find the value of the following: log300