Find X, if log16x = 5/4
Answers
Answered by
0
Answer:
x
=
2
log
2
16
=
4
⇔
2
4
=
16
Explanation:
Log form and index form are interchangeable.
log
a
b
=
c
⇔
a
c
=
b
log
x
16
=
4
can be read as asking the question....
"What number, when raised to
4
t
h
power will give
16
?
"
In index form this means:
x
4
=
16
It really does help to know the first few powers of the numbers up to
10
by heart.
The powers of
2
are :
1
,
2
,
4
,
8
,
16
,
32
,
64
,
128
...
.
This means
2
4
=
16
, which gives us the answer we need.
x
=
2
Step-by-step explanation:
mark it as brilliant
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