If Log 4 = 0.6020, Find the Value of Each of the Following: Log2.5 - Mathematics

If log 4 = 0.6020, find the value of each of the following: log2.5

Sum

log2.5
= `"log"(10/4)`
= log 10 - log 4
= 1 - 0.6020
= 0.3980.

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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 22.2

Express the following in terms of log 2 and log 3: log 54

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

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(4)(648)`

Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`

Write the logarithmic equation for:

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

Express the following as a single logarithm:

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

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

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

Simplify: log b ÷ log b²