Express the Following in Terms of Log 2 and Log 3: Log 36

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

बेरीज

log 36
= log (2 x 2 x 3 x 3)
= log (2² x 3²)
= log 2² + log 3²
= 2log 2 + 2log 3.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 7: Logarithms - Exercise 10.2

पाठ 7 Logarithms
Exercise 10.2 | Q 1.1

Express the following in terms of log 2 and log 3: log 144

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" root(3)(144)`

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

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 2 log y - log x - 3 = 0, express x in terms of y.

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

If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`

Find the value of:

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