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

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

If x = (100)^a , y = (10000)^b and z = (10)^c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 12

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

Express the following as a single logarithm:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12

If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.

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 log 4 = 0.6020, find the value of each of the following: log8

Find the value of:

`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`