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

Sum

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

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 1.6

Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.

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: log125

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

Express the following as a single logarithm:

`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`

Express the following as a single logarithm:

`2 + 1/2 "log" 9 - 2 "log" 5`

Express the following as a single logarithm:

`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

Express the following as a single logarithm:

`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`

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