Question

what is real value of x in equation log base 2 24 - log base 2 3 =log base 5 x

Answer 1

log base 2 24 can be written as = log base 2 (2^3)*3
so,
⇒log₂2^3 * 3 - log₂3=log₅x
⇒3log₂2*3-log₂3=log₅x
⇒3log₂2+log₂3-log₂3=log₅x
⇒3log₂2=log₅x
⇒3=log₅x

Answer 2

3 = log base 5 x (answer)