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

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

बेरीज

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

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 1.5

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

If log (a + b) = log a + log b, find a in terms of b.

If log 27 = 1.431, find the value of : log 300

If log₅ x = y, find 5^{2y+ 3} in terms of x.

Express the following in terms of log 2 and log 3: log12⁸

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

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2

If x² + y² = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`