Express the Following in a Form Free from Logarithm: 2 Log X + 3 Log Y = Log a - Mathematics

Express the following in a form free from logarithm:
2 log x + 3 log y = log a

Sum

Consider the given equation
2 log x + 3 log y = log a
⇒ logx² + logy³ = log a
⇒ log x²y³ = log a
⇒ x²y³ = a

shaalaa.com

Laws of Logarithm

Is there an error in this question or solution?

Chapter 8: Logarithms - Exercise 8 (B) [Page 106]

Chapter 8 Logarithms
Exercise 8 (B) | Q 2.2 | Page 106

Express in terms of log 2 and log 3 :
`"log"75/16 - 2"log"5/9 + "log"32/243`

Express the following in a form free from logarithm:

2 log x - log y = 1

Solve for x : log (x² - 21) = 2.

Solve for x : `(log 81)/(log27 )` = x

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 3.6

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

`2/3` log 8

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 12

Solve for x :
`log 225/log15` = log x

State, true or false : log 1 x log 1000 = 0

State, true or false :
If `log 25/log 5 = log x`, then x = 2.