Express Log102 + 1 in the Form of Log10x. - Mathematics

Express log₁₀2 + 1 in the form of log₁₀x .

Sum

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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Chapter 8: Logarithms - Exercise 8 (B) [Page 106]

Chapter 8 Logarithms
Exercise 8 (B) | Q 6 | Page 106

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

Express the following in a form free from logarithm:

2 log x - log y = 1

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

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

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

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

State, true or false :
`log x/log y` = log x - log y

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