Question

2 log 64 base 64 simplify it

Answer 1

log
64
(
√
2
)
log64(2)
Rewrite
√
2
2 as
2
1
2
212.
log
64
(
2
1
2
)
log64(212)
Expand
log
64
(
2
1
2
)
log64(212) by moving
1
2
12 outside the logarithm.
1
2
log
64
(
2
)
12log64(2)
Logarithm base
64
64 of
2
2 is
1
6
16.
1
2
1
6
1216
Simplify
1
2
1
6
1216.
Tap for fewer steps...
Multiply
1
2
12 and
1
6
16 to get
1
2
⋅
6
12⋅6.
1
2
⋅
6
12⋅6
Multiply
2
2 by
6
6 to get
12
12.
1
12
112