`log_10 (384/5)+log_10 (81/32)+3log_10 (5/3)+log_10 (1/9)`

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_4 9=1.5848

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_9 24=1.4465

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_9 96=2.0774

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_6 5=.8982

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_5 72=2.6572

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_6 30=1.898

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_6 45=2.1244

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_2 6=2.5854