Q.15 Simplify: log 2+log +log 1/2 5 us 10- 2 21

Q.15 Simplify: log 2+log+log1/25 us 10-221

Simplify : (ii) 23 log 16/15 + 17log 25/24 + 10log 81/80

Simplify: 2^((log)_3 5)-5^((log)_3 2)

Simplify : 2 log ""( 15)/(8) - log ""( 25)/( 162) +3 log ""( 4)/(9)

Simplify (1)/(log_(2)log_(2)log_(2)256) .

Express as a single logaritham and simplify : 3log5- log 50 + 2log2 +1

Solve for x : (i) log_(10) (x - 10) = 1 (ii) log (x^(2) - 21) = 2 (iii) log(x - 2) + log(x + 2) = log 5 (iv) log(x + 5) + log(x - 5) = 4 log 2 + 2 log 3

Evaluate each of the following without using tables : (i) log 5 + log 8 - 2 log 2 (ii) log_(10) 8 + log_(10) 25 + 2 log_(10)3 - log_(10) 18 (iii) log 4 + (1)/(3) log 125 - (1)/(5) log 32

Simplify: log((3)/(8)) + log ((45)/(8)) - log ((15)/(16)) .