Express Log102 + 1 in the Form of Log10x.

Express log₁₀2 + 1 in the form of log₁₀x .

योग

log₁₀2 + 1

= log₁₀2 + log₁₀10 ....[ ∵ log₁₀10 = 1 ]

= log₁₀2 x 10 ....[ log_am + log_an = log_amn ]

= log₁₀20.

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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 6 | पृष्ठ १०६

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

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

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

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

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

Solve for x : ` ( log 128) / ( log 32 ) ` = x

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/log y` = log x - log y

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