Simplify : Log (A)3 - Log a

Simplify : log (a)³ - log a

बेरीज

log (a)³ - log a
= 3 log a - log a
= 2 log a

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 8: Logarithms - Exercise 8 (C) [पृष्ठ १०८]

पाठ 8 Logarithms
Exercise 8 (C) | Q 6.1 | पृष्ठ १०८

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

Prove that : If a log b + b log a - 1 = 0, then b^a. a^b = 10

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

Given: log₃ m = x and log₃ n = y.
Express 3^{2x - 3} in terms of m.

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

Write the logarithmic equation for:

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

Write the logarithmic equation for:

V = `(1)/("D"l) sqrt("T"/(pi"r")`

Express the following as a single logarithm:

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

If log x = p + q and log y = p - q, find the value of log `(10x)/y^2` in terms of p and q.

Find the value of:

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