Evaluate the expression 10^(log12 - log4).?

first recognize that log12-log4 = log(12/4) = log 3

then your expression becomes 10^log 3 = 3, since 10 raised to log x is equal to x

keep in mind this rule for logs: log(a) - log(b) = log(a/b) So this simplifies to 10^(log(3)). Now keep in mind what a log is interior the 1st place. that's the quantity for you to enhance 10 to the skill of, with a view to get the quantity back. So 10^(log(3)) is in simple terms 3.

10 Log 4

10^[log(12) - log(4)]
= 10^[log(12/4)]
= 10^[log(3)]
= 10^[log_10(3)]
= 3
(answer b)

10^(log12 - log4) =10^(log12/3)
=10^(log3)
Let x= 10^(log3)
taking log on both sides,we get
logx= log{10^(log3)}
or logx= log3{log10} Since log 10 = 1
or logx = log 3
or x= 3
Hence answer is b. 3

10^(log12 - log4).
= 10^( log 12/4)
= 10^ log 3
y= 10^ log 3
log y= log (10^log 3)= log 3 log 10= log 3
y=3

10^( log 3 ) = 3

OPTION b