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

Express log₁₀2 + 1 in the form of log₁₀x .

बेरीज

log₁₀2 + 1

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

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

= log₁₀20.

shaalaa.com

Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 8: Logarithms - Exercise 8 (B) [पृष्ठ १०६]

पाठ 8 Logarithms
Exercise 8 (B) | Q 6 | पृष्ठ १०६

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

Express the following in a form free from logarithm:

2 log x - log y = 1

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.

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 12

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log `2 1/4`

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

If log₁₀ 8 = 0.90, find the value of:

log₁₀ 4