Question

Compute log3 5 log25 27.
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Answer 1

Answer:

3/2

Step-by-step explanation:

Use the basic property of logarithm

loga base b= loga/logb

log(a)•^k base b= k*( loga/logb)

So , log5 base 3 = log5/log3

log 27 base 25= (log 27/log25)= (3*log 3)/(2* log 5)

So according to question

(log 5)/( log 3) *( 3/2)* ( log 3)/ (log 5 )

=3/2

Answer 2

log 5 the base 3*log 27 the base 25

=log 5 the base 3*log3^3 the base5^2

=log5 the base 3 *1/2*3log3 the base 5

=log 5the base 3*3/2*1/log 5 the base 3

=3/2