8. log3^2log8^7log4^3log7^6log5^4

Prove that: 2log(1+2+4+7+14)= log1+log2+log4+log7+log14

Which of the following real numbers when simplified are either terminating or rerepeating decimal ? (A) sin((3pi)/8)cos((3pi)/8)(B)log_2(112)(C)log_3 2log_4 3log_8 4(D)27^(-log_25(5))

log_4log_5 25+log_3log_3 3

If log_(3)27.log_x7=log_(27)x.log_(7)3 , the least value of x is

Find the value of the expressions (log2)^3+log8.log(5)+(log5)^3 .

Find the square of the sum of the roots of the equation log_3x*log_4x*log_5x=log_3x*log_4x+log_4x*log_5x+log_3x*log_5x

a=log_5 3+log_7 5+log_9 7

The value of (log_5 9*log_7 5*log_3 7)/(log_3 sqrt(6))+1/(log_4 sqrt(6)) is co-prime with

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8\ a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_2 6 (log)_3 8> log_3 6>(log)_4 6 (log)_3 8>(log)_2 6> log_3 6>(log)_4 6 (log)_2 8<(log)_4 6

Solve : log_(3)x . log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(5)+log_(5)x.log_(3)x .