Home
Class 12
MATHS
Find the value of (1/(49))^(1+(log)7 2)+...

Find the value of `(1/(49))^(1+(log)_7 2)+5^(-1(log)_((1/5))(7))`

Text Solution

Verified by Experts

The correct Answer is:
`(1373)/(196)`
`(1/49)^(1+log_(7)2)+5^(-log_((1//5))(7))`
` = (7^(-2))^(log_(7)14) + 5^(log_(5) 7)`
` = 7^(log_(7)14^(-2))+7`
` = 14^(-2) + 7`
` = 1/(196)+7=(1373)/(196)`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.4|12 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.5|13 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.2|9 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

Find the value of ((log)_3 4)((log)_4 5)((log)_5 6)((log)_6 7)((log)_7 8)((log)_8 9)dot

Find the value of log_(2) (1/(7^(log_(7) 0.125))) .

Let L denote antilog_32 0.6 and M denote the number of positive integers which have the characteristic 4, when the base of log is 5, and N denote the value of 49^((1-(log)_7 2))+5^(-(log)_5 4.) Find the value of (L M)/Ndot

Find the value of 81^((1//log_5 3))+(27^(log_9 36)) + 3^((4/(log_7 9))

The value of ((log_(2)9)^(2))^(1/(log_(2)(log_(2)9)))xx(sqrt7)^(1/(log_(4)7)) is ________.

Find the value of |(1,log_(x) y,log_(x) z),(log_(y) x,1,log_(y) z),(log_(z) x,log_(z) y,1)| if x,y,z ne 1

The value of log 1 is

The value of (1+2(log)_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2 is 2 (b) 3 (c) 4 (d) 1

Find the value of 7 log(16/15) + 5 log (25/24) + 3 log (81/80) .