Express the Following in Terms of Log 2 and Log 3: Log 648

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

योग

log 648
= log (2³ x 3⁴)
= log 2³+ 3⁴
= 3 log 2 + 4 log 3.

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Expansion of Expressions with the Help of Laws of Logarithm

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अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 1.5

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

Prove that : (log a)² - (log b)² = log `(( a )/( b ))` . Log (ab)

Express the following in terms of log 2 and log 3: log 36

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

Write the logarithmic equation for:

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

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 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25

If log 8 = 0.90, find the value of each of the following: log4

Find the value of:

`("log"sqrt(8))/(8)`