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

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Laws of Logarithm

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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:

`log26/51 - log91/119`

Express the following in a form free from logarithm:

2 log x - log y = 1

Evaluate the following without using tables :
log 5 + log 8 - 2 log 2

Evaluate the following without using tables :
log 4 + `1/3` log 125 - `1/5`log 32

Solve for x : log₁₀ (x - 10) = 1

Solve for x : log (x² - 21) = 2.

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

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

If log₁₀2 = a and log₁₀3 = b; express each of the following in terms of 'a' and 'b' : log `3 1/8`

State, true or false :
log x x log y = log x + log y