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

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

बेरीज

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

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 8: Logarithms - Exercise 8 (B) [पृष्ठ १०६]

पाठ 8 Logarithms
Exercise 8 (B) | Q 2.2 | पृष्ठ १०६

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

Express in terms of log 2 and log 3:

`log26/51 - log91/119`

Evaluate the following without using tables :
log₁₀8 + log₁₀25 + 2 log₁₀3 - log₁₀18

Express log₁₀2 + 1 in the form of log₁₀x .

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 5.4

If log₁₀2 = a and log₁₀3 = b; express each of the following in terms of 'a' and 'b' : log 60

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

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

If log₁₀ 8 = 0.90, find the value of:

log₁₀ 4