Express the Following in Terms of Log 2 and Log 3: Log 216 - Mathematics

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

Sum

log 216
= log (2³ x 3³)
= log 2³ + log 3³
= 3 log 2 + 3 log 3.

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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 1.4

Given: log₃ m = x and log₃ n = y.
If 2 log₃ A = 5x - 3y; find A in terms of m and n.

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: log80

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

Express the following in terms of log 5 and/or log 2: log250

Write the logarithmic equation for:

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

Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50

Simplify the following:

`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540

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