helo sir/madam

Question

can u help me to solve this problem

sOLVE 2log 15 +log(5-x)- log4x=2

Answer 1

3 important rules of logs

1. log (AB) = log A + log B
2. log(A/B) = log A - log B
3. log A^n = nlogA

so 2log15 + log(5-x) - log 4x = 2
log 15^2 + log(5-x) - log 4x = 2
log (225(5-x)/(4x) ) = 2
225(5-x)/(4x) = 10^2 = 100
400x = 1125 - 225x
625x = 1125
x = 1125/625 = 9/5 or 1.8

Answer 2

ROCKSON BEDI