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

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

Sum

Consider the given equation
alogx - blogy = 2log3
⇒ log x^a - logy^b = log3²
⇒ `"log"(x^a/y^b) = log 9`
⇒ `x^a/y^b = 9`
⇒ x^a = 9y^b

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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 2.3 | Page 106

Express in terms of log 2 and log 3:

log 144

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

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

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

Solve for x : ` (log 64)/(log 8)` = log x

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

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

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

If log₁₀ 8 = 0.90, find the value of:

log₁₀ 4