Question #3aa6d

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Answer 1 · 2017-12-10T15:16:11

#32^(1/5)=2#
#32^(3/5)=8#

PROBLEM ONE
#32^n=(2^5)^n=2^1#
Hence,
#2^(5n)=2^1#
and
#5n=1#
#n=1/5#
PROBLEM TWO
#32^n=(2^5)^n=8=2^3#
Hence,
#2^(5n)=2^3#
and
#5n=3#
#n=3/5#

Hope it helps :)

Answer 2 · 2017-12-10T15:21:01

a)#->n=ln(2)/ln(32)# as an exact answer

Now that I have shown you one of the ways of calculating this I will let you solve part b of the question.

Consider question (a)

Taking logs of both sides

#ln(32^n)=ln(2)#

but this is the same as:

#nln(32)=ln(2)#

Divide both sides by #ln(32)# giving:

#n=ln(2)/ln(32)#
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