Evaluate these expressions without using a calculator Please

Solution

a)log₄₉7

=log_7²7

log_b^c a^d=(d/c)log_ba

=(1/2)log₇7

=(1/2)*1

=1/2

=0.5

b)log₈8¹⁷

log_b^c a^d=(d/c)log_ba

=17 log₈8

=17*1

=17

c)log₃9

=log₃3²

log_b^c a^d=(d/c)log_ba

=2log₃3

=2*1

=2

d)log₆1

=0

e)log₉3

=log_3²3^1/2

log_b^c a^d=(d/c)log_ba

=((1/2) /2)log₃3

=(1/4)*1

=1/4