Advertisements
Advertisements
Question
If log10 8 = 0.90, find the value of:
log10 4
Advertisements
Solution
Given that log108 = 0.90
⇒ log102 × 2 × 2 = 0.90
⇒ log1023 = 0.90
⇒ 3log102 = 0.90
⇒ log102 = `0.90/3`
⇒ log102 = 0.30 ...(1)
log 4
= log10( 2 x 2 )
= log10( 22 )
= 2log102
= 2( 0.30 ) ...[ from(1) ]
= 0.60
APPEARS IN
RELATED QUESTIONS
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
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Evaluate the following without using tables :
log 5 + log 8 - 2 log 2
Evaluate the following without using tables :
log108 + log1025 + 2 log103 - log1018
Solve for x : log10 (x - 10) = 1
Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3
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
State, true or false :
If `log 25/log 5 = log x`, then x = 2.
