If Log102 = a and Log103 = B; Express Each of the Following in Terms of 'A' and 'B' : Log 60 - Mathematics

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 ]

shaalaa.com

Laws of Logarithm

Is there an error in this question or solution?

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:

`log26/51 - log91/119`

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

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

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

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

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

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