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E23 Math
Question 54
2021 December(E23) Math Question 54
Logarithms
- Logarithm Expressions
Laws of exponents, Laws of Logarithms
Choice H
Given that
x
<
8
a
n
d
l
o
g
x
8
=
y
x<8\; and \; log_x8=y
x
<
8
an
d
l
o
g
x
8
=
y
We get
x
y
=
8
x^y=8
x
y
=
8
=
>
x
y
=
(
2
)
3
=>x^y=(2)^3
=>
x
y
=
(
2
)
3
∴
y
=
3
\therefore y=3
∴
y
=
3
Skills you are tested for:
Laws of exponents
Laws of Logarithms
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