Asked by Matilda
expand the logarithm as a sum or difference and or contant multiple of logarithms
log _4 16xy^2
thank you.. I know you do this:
log _4 16+ log _4 (x)+ log _4 (y^2)
and I know the first part = 2 and the last part you use the exponent rule =y^2log4
but the middle i don't get..thanks
log _4 16xy^2
thank you.. I know you do this:
log _4 16+ log _4 (x)+ log _4 (y^2)
and I know the first part = 2 and the last part you use the exponent rule =y^2log4
but the middle i don't get..thanks
Answers
Answered by
mathhelper
For the last part of log<sub>4</sub> (y^2)
you follow the pattern of
log<sub>a</sub> (x^n)
= n log<sub>a</sub> x
so log<sub>4</sub> (y^2)
= 2 log<sub>4</sub> y
the first part of your solution is ok
final answer:
2 + log<sub>4</sub> x + 2 log<sub>4</sub> y
you follow the pattern of
log<sub>a</sub> (x^n)
= n log<sub>a</sub> x
so log<sub>4</sub> (y^2)
= 2 log<sub>4</sub> y
the first part of your solution is ok
final answer:
2 + log<sub>4</sub> x + 2 log<sub>4</sub> y
Answered by
Matilda
love you guys
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