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 60

Sum

log 60
= log₁₀10 x 2 x 3 ...[ log_amn = log_am + log_an ]
= 1 + log₁₀2 + log₁₀3 ...[ ∵ log1010 = 1 ]
= 1 + a + b ...[ ∵ log₁₀2 = a and log₁₀3 = b ]

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Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (B) [Page 107]

Chapter 8 Logarithms
Exercise 8 (B) | Q 11.5 | Page 107

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

Express in terms of log 2 and log 3 : log 4.5

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

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

Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

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

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 25

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