If Log a = P and Log B = Q, Express a 3 B 2 in Terms of P and Q. - Mathematics

If log a = p and log b = q, express `"a"^3/"b"^2` in terms of p and q.

Sum

`"log" "a"^3/"b"^2`
= loga³ - logb²
= 3loga - 2logb
= 3p - 2q.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 13

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2

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

If log₁₀ a = b, find 10^{3b - 2} in terms of a.

If log (a + 1) = log (4a - 3) - log 3; find a.

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

Simplify : log (a)³÷ log a

Express the following in terms of log 5 and/or log 2: log160

Write the logarithmic equation for:

n = `sqrt(("M"."g")/("m".l)`

Write the logarithmic equation for:

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

Simplify: log b ÷ log b²