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

योग

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

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

Express in terms of log 2 and log 3:

log 144

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

Find x, if : x - log 48 + 3 log 2 = `1/3`log 125 - log 3.

Solve for x : log (x² - 21) = 2.

Solve for x : log (x - 2) + log (x + 2) = log 5

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 `2 1/4`

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 x x log y = log x + log y